Bluestacks wont sync up game progress on new added accounts

[Mimikyu]

My wife loves Bluestacks and it runs all her favorite games fine. I added my account too, using the Multi-Instance manager and can log into my own Google account, but when I install a game I have on my phone, Bluestacks doesn't sync up with the progress of the phone's game. is it supposed to, because it seems silly not to. I thought the whole idea was to play on your phone or your pc and to move seamlessly between the two. Im new to this and would appreciate any advice.