Easy Complete Example
Just set id to included layout, and use binding.includedLayout.anyView.
This example helps passing a value to <include & accessing included views in code.
Step 1
You have layout_common.xml, want to pass String to included layout. 
You will create String variable in layout and refer this String to TextView. 
<data>
    // declare fields
    <variable
        name="passedText"
        type="String"/>
</data>
<TextView
    android:id="@+id/textView"
    ...
    android:text="@{passedText}"/> //set field to your view.
Step 2
Include this layout to parent layout. Give an id to included layout, so that we can use that in binding class. Now you can pass String passedText to your <include tag. 
activity_main.xml
<?xml version="1.0" encoding="utf-8"?>
<layout
    xmlns:android="http://schemas.android.com/apk/res/android"
    xmlns:app="http://schemas.android.com/apk/res-auto">
    <LinearLayout
        ..
        >
        <include
            android:id="@+id/includedLayout"
            layout="@layout/layout_common"
            app:passedText="@{@string/app_name}" // here we pass any String 
            />
    </LinearLayout>
</layout>
- You can use now binding.includedLayout.textViewin your class.
- You can pass any variables to included layout like above. - ActivityMainBinding binding = DataBindingUtil.setContentView(this, R.layout.activity_main);
binding.includedLayout.textView.setText("text");
 
Note Both layouts (parent & included) should be binding layout, wrapped with <layout