String EXTRA_CUSTOM_TABS_EXIT_ANIMATION_BUNDLE = "android.support.customtabs.extra.EXIT_ANIMATION_BUNDLE";
Bundle finishBundle = ActivityOptions.makeCustomAnimation(mActivity, android.R.anim.slide_in_left, android.R.anim.slide_out_right).toBundle();
i.putExtra(EXTRA_CUSTOM_TABS_EXIT_ANIMATION_BUNDLE, finishBundle);

Bundle startBundle = ActivityOptions.makeCustomAnimation(mActivity, R.anim.slide_in_right, R.anim.slide_out_left).toBundle();
mActivity.startActivity(i, startBundle);

CustomTabsIntent customTabsIntent = new CustomTabsIntent.Builder()
            .setExitAnimations(this,
                    android.R.anim.slide_in_left, android.R.anim.slide_out_right)
            .build();
    customTabsIntent.launchUrl(this, Uri.parse("http://www.example.com"));

public static final String EXTRA_EXIT_ANIMATION_BUNDLE =
        "android.support.customtabs.extra.EXIT_ANIMATION_BUNDLE";

public static final String EXTRA_SESSION = "android.support.customtabs.extra.SESSION";

public void openCustomTab() {
    Intent intent = new Intent(Intent.ACTION_VIEW, Uri.parse("http://www.example.com"));

    Bundle bundle = ActivityOptions
            .makeCustomAnimation(
                    this, android.R.anim.slide_in_left, android.R.anim.slide_out_right)
            .toBundle();

    Bundle extrasBundle = new Bundle();
    extrasBundle.putBinder(EXTRA_SESSION, null);
    intent.putExtras(extrasBundle);

    intent.putExtra(EXTRA_EXIT_ANIMATION_BUNDLE, bundle);
    startActivity(intent);
}