okay. now you still trouble  then i have unique solution for you which work 100% with just minor changes.
so first of all create one style for only settings activity.
here is my toolbar styles code.
<style name="Toolbar_settings_style" parent="Theme.AppCompat.Light.DarkActionBar">
        <!-- Customize your theme here. -->
        <item name="colorPrimary">@color/colorPrimary</item>
        <item name="colorPrimaryDark">@color/colorPrimaryDark</item>
        <item name="colorAccent">@color/colorAccent</item>
        <item name="android:colorControlNormal">@color/appTitleTextColor</item>
    </style>
and here is my stlyes.xml looks like
<resources>    
    <!-- Base application theme. -->
    <style name="AppTheme" parent="Theme.AppCompat.Light.NoActionBar">
        <!-- Customize your theme here. -->
        <item name="colorPrimary">@color/colorPrimary</item>
        <item name="colorPrimaryDark">@color/colorPrimaryDark</item>
        <item name="colorAccent">@color/colorAccent</item>
        <item name="android:colorControlNormal">@color/appTitleTextColor</item>
    </style>
    <style name="AppTheme.NoActionBar">
        <item name="windowActionBar">false</item>
        <item name="windowNoTitle">true</item>
    </style>
    <style name="AppTheme.AppBarOverlay" parent="ThemeOverlay.AppCompat.Dark.ActionBar" />
    <style name="AppTheme.PopupOverlay" parent="ThemeOverlay.AppCompat.Light" />
    <style name="Toolbar_settings_style" parent="Theme.AppCompat.Light.DarkActionBar">
        <!-- Customize your theme here. -->
        <item name="colorPrimary">@color/colorPrimary</item>
        <item name="colorPrimaryDark">@color/colorPrimaryDark</item>
        <item name="colorAccent">@color/colorAccent</item>
        <item name="android:colorControlNormal">@color/appTitleTextColor</item>
    </style>   
</resources>
yes. you noticed i have create duplicate styles(appTheme and Toolbar_settings_style both are same styles attribute) for only settingsActivity.
it is very important to create duplicate styles.
Now go to your settingsActivity and paste below code inside onCreate().
 getSupportActionBar().setDisplayHomeAsUpEnabled(true);
After placing above code now my SettingsActivity looks like 
import android.media.Ringtone;
import android.media.RingtoneManager;
import android.net.Uri;
import android.preference.EditTextPreference;
import android.preference.ListPreference;
import android.preference.Preference;
import android.preference.PreferenceFragment;
import android.preference.PreferenceManager;
import android.preference.RingtonePreference;
import android.support.v7.app.ActionBar;
import android.support.v7.app.AppCompatActivity;
import android.os.Bundle;
import android.support.v7.widget.Toolbar;
import android.text.TextUtils;
import android.view.MenuItem;
import settingspreferences.AppCompatPreferenceActivity;
public class User_Settings extends AppCompatPreferenceActivity {
    @Override
    protected void onCreate(Bundle savedInstanceState) {
        super.onCreate(savedInstanceState);
        getSupportActionBar().setDisplayHomeAsUpEnabled(true);
        // load settings fragment
        getFragmentManager().beginTransaction().replace(android.R.id.content, new MainPreferenceFragment()).commit();
    }
    public static class MainPreferenceFragment extends PreferenceFragment {
        @Override
        public void onCreate(final Bundle savedInstanceState) {
            super.onCreate(savedInstanceState);
            addPreferencesFromResource(R.xml.settings);
            // gallery EditText change listener
            bindPreferenceSummaryToValue(findPreference(getString(R.string.key_gallery_name)));
            // notification preference change listener
        }
        @Override
        public boolean onOptionsItemSelected(MenuItem item) {
            if (item.getItemId() == android.R.id.home) {
             //   onBackPressed();
            }
            return super.onOptionsItemSelected(item);
        }
        private static void bindPreferenceSummaryToValue(Preference preference) {
            preference.setOnPreferenceChangeListener(sBindPreferenceSummaryToValueListener);
            sBindPreferenceSummaryToValueListener.onPreferenceChange(preference,
                    PreferenceManager
                            .getDefaultSharedPreferences(preference.getContext())
                            .getString(preference.getKey(), ""));
        }
        /**
         * A preference value change listener that updates the preference's summary
         * to reflect its new value.
         */
        private static Preference.OnPreferenceChangeListener sBindPreferenceSummaryToValueListener = new Preference.OnPreferenceChangeListener() {
            @Override
            public boolean onPreferenceChange(Preference preference, Object newValue) {
                String stringValue = newValue.toString();
                if (preference instanceof ListPreference) {
                    // For list preferences, look up the correct display value in
                    // the preference's 'entries' list.
                    ListPreference listPreference = (ListPreference) preference;
                    int index = listPreference.findIndexOfValue(stringValue);
                    // Set the summary to reflect the new value.
                    preference.setSummary(
                            index >= 0
                                    ? listPreference.getEntries()[index]
                                    : null);
                } else if (preference instanceof RingtonePreference) {
                    // For ringtone preferences, look up the correct display value
                    // using RingtoneManager.
                    if (TextUtils.isEmpty(stringValue)) {
                        // Empty values correspond to 'silent' (no ringtone).
                        preference.setSummary(R.string.pref_ringtone_silent);
                    } else {
                        Ringtone ringtone = RingtoneManager.getRingtone(
                                preference.getContext(), Uri.parse(stringValue));
                        if (ringtone == null) {
                            // Clear the summary if there was a lookup error.
                          //  preference.setSummary(R.string.summary_choose_ringtone);
                        } else {
                            // Set the summary to reflect the new ringtone display
                            // name.
                            String name = ringtone.getTitle(preference.getContext());
                            preference.setSummary(name);
                        }
                    }
                } else if (preference instanceof EditTextPreference) {
                    if (preference.getKey().equals("key_gallery_name")) {
                        // update the changed gallery name to summary filed
                        preference.setSummary(stringValue);
                    }
                } else {
                    preference.setSummary(stringValue);
                }
                return true;
            }
        };
    }
}
Now let's come to real important part.
go to manifest.xml file and find your settingsActivity and paste below code.
 <activity android:name=".User_Settings"
            android:theme="@style/Toolbar_settings_style"></activity>
so here is my AndroidManifest.xml looks like 
<?xml version="1.0" encoding="utf-8"?>
<manifest xmlns:android="http://schemas.android.com/apk/res/android"
    package="mypackage">
    <uses-permission android:name="android.permission.INTERNET" />
    <application
        android:allowBackup="true"
        android:icon="@mipmap/ic_launcher"
        android:label="@string/app_name"
        android:roundIcon="@mipmap/ic_launcher_round"
        android:supportsRtl="true"
        android:theme="@style/AppTheme">
        <!--  -->
        <activity
            android:name=".MainActivity"
            android:windowSoftInputMode="adjustPan">
            <intent-filter>
                <action android:name="android.intent.action.MAIN" />
                <category android:name="android.intent.category.LAUNCHER" />
            </intent-filter>
            <!-- <intent-filter> -->
            <!-- <action android:name="android.intent.action.SEARCH" /> -->
            <!-- </intent-filter> -->
            <meta-data
                android:name="android.app.searchable"
                android:resource="@xml/searchable" />
        </activity>
        <activity android:name=".Add_Items" />
        <activity android:name=".Product_details_view" />
        <activity
            android:name=".editProducts"
            android:parentActivityName=".Product_details_view" />
        <activity android:name=".User_Settings"
            android:theme="@style/Toolbar_settings_style"></activity>
    </application>
</manifest>
This is all you need to shows Toolbar on settingsActivity.