Expose highest score to Android app on close of aar Unity game

I am brand new to the Unity eco system.

I purchased a Unity game that I embed in an Android app as an aar library.

The game shows the current score and highest score once the game is over (it has a reset feature to play again).

I have the game embedded in the app and it indeed runs as intended.

When I exit the game, and return to the app I would like to know the highest score so that I may record it in my leaderboard system. What needs to be done to the game to make his happen?

The game is called ZigZag Birds and I purchased it on SellMyApp.

Thanks in advance for any help you may provide.

Also given:

public void Exit(){
Application.Quit ();
Debug.Log (“Quit by Exit Button”);
}

Is there a way to NOT have the exit of the game close the Android app that launched the embeded aar game?