The link I originally showed was from the account recovery page request for the game I played lol (that wanted my OS and model number for the last device I played the game on) which was using BlueStacks to play the game. It was a pointless picture, just ignore that.
I downloaded BlueStacks on the computer to play the games that I originally played on my iPod Touch. as far as me trying to recover my account in the game I played, that was a mistake on my end and I heard its common and easy to recover, but I need the OS version and model number that I used on my last device, which was once again, bluestacks on the computer to do so.
I tried googling alot for this, and I couldn't find anything so I decided to try random forums about bluestacks. an active forum user on bluestacks section of this forum I found while googling for help knows alot about bluestacks from what I read, but it doesn't let me private message him. (User: mikedt)
I never had to sync my ipod touch to the bluestacks I use on computer.