I work with two screens, and until recently, I had no problem moving content of any kind between them at my desk; and with the exception of Acrobat, I still can.
Recently, however, Acrobat started only opening on my secondary screen (or not at all when the second screen was disabled, and when I try to move an Acrobat window from my secondary screen to my primary screen, it crashes. I've rebooted, but the problem persists.
I have no trouble moving different tabs from one screen to a different one on my Windows 7 or Windows 10 systems. But that is not exactly an Acrobat feature but is handled by the OS, so you should look more into that direction.