ActivityLifecycleCallbacks is a great way of keeping track of all the activities in App:
public class BaseActivityLifecycleCallbacks implements Application.ActivityLifecycleCallbacks {
private ActivityState homeState, contentState;
@Override
public void onActivityCreated(Activity activity, Bundle bundle) {
    if (activity instanceof HomeActivityv2) {
        homeState = ActivityState.CREATED;
    } else if (activity instanceof ContentDisplayActivity) {
        contentState = ActivityState.CREATED;
    }
}
@Override
public void onActivityStarted(Activity activity) {
    if (activity instanceof HomeActivityv2) {
        homeState = ActivityState.STARTED;
    } else if (activity instanceof ContentDisplayActivity) {
        contentState = ActivityState.STARTED;
    }
}
@Override
public void onActivityResumed(Activity activity) {
    if (activity instanceof HomeActivityv2) {
        homeState = ActivityState.RESUMED;
    } else if (activity instanceof ContentDisplayActivity) {
        contentState = ActivityState.RESUMED;
    }
}
@Override
public void onActivityPaused(Activity activity) {
    if (activity instanceof HomeActivityv2) {
        homeState = ActivityState.PAUSED;
    } else if (activity instanceof ContentDisplayActivity) {
        contentState = ActivityState.PAUSED;
    }
}
@Override
public void onActivityStopped(Activity activity) {
    if (activity instanceof HomeActivityv2) {
        homeState = ActivityState.STOPPED;
    } else if (activity instanceof ContentDisplayActivity) {
        contentState = ActivityState.STOPPED;
    }
}
@Override
public void onActivitySaveInstanceState(Activity activity, Bundle bundle) {
}
@Override
public void onActivityDestroyed(Activity activity) {
    if (activity instanceof HomeActivityv2) {
        homeState = ActivityState.DESTROYED;
    } else if (activity instanceof ContentDisplayActivity) {
        contentState = ActivityState.DESTROYED;
    }
}
public ActivityState getHomeState() {
    return homeState;
}
public ActivityState getContentState() {
    return contentState;
}
}
ActivityState:
public enum ActivityState {
    CREATED, STARTED, RESUMED, PAUSED, STOPPED, DESTROYED;
}
Extend the Application class and provide its reference in Android Manifest file:
import android.app.Application;
public final class BaseApplication extends Application {
private BaseActivityLifecycleCallbacks baseALC;
@Override
public void onCreate() {
    super.onCreate();
    baseALC = new BaseActivityLifecycleCallbacks();
    this.registerActivityLifecycleCallbacks(baseALC);
}
public BaseActivityLifecycleCallbacks getBaseALC() {
    return baseALC;
}
}
Ckeck anywhere from Activity for status of other activity:
private void checkAndLaunchHomeScreen() {
    Application application = getApplication();
    if (application instanceof BaseApplication) {
        BaseApplication baseApplication = (BaseApplication) application;
        if (baseApplication.getBaseALC().getHomeState() == null || baseApplication.getBaseALC().getHomeState() == ActivityState.DESTROYED) {
            //Do anything you want
        }
    }
}
https://developer.android.com/reference/android/app/Application.ActivityLifecycleCallbacks.html