Hi,
In the sample, when player moves an object the game sends the new position of the object to AppWarp server, then server sends notification to all the players joined in the room. When the client receives notification then object position gets updated at other player's end.
This process gets triggered when player touch the object and moves it. Two implement your case, you just need to think of strategy for changing the object position instead of touch event in the current sample, for example, you can start sending updated object positions to AppWarp server from the gameloop function based on certain strategy suits for your game logic.
Let us know if it helps.
Thanks.