Forced movemnt, in general, does not provoke. I don't see dominated being an exception.
Dalzig, I am curious how exactly do you rule your games? No OA while dominated, or something else?
Tale, as far as I know, the Forced Movement text in the Player's Handbook applies only for push, pull, and slide. Otherwise some strange conclusions would be made - like ignoring difficult terrain while dominated.
Except when your players are doing the dominating.It mostly boils down to not being a complete jerk to your players.
Thank you for writing.
A dominated creature would still provoke Opportunity Attacks from it's enemies. It would not provoke them from allies.
Good Gaming!