I don't know about the Teutonic Knights kicking them out, but they definately probably caused them to leave, but they definately did go to Hungary, only to basically be attacked by the Hungarian people as they hated the amount of pasturage they were using. The Mongols than also decisively smashed what few decided to honor their allegiance to the Hungarian King at the battle of Mohi. The Cumans had proceeded south towards Greece ravaging everythign in their path in retirbution for the murder of their Khan, probably by the Teutonic Knights. They kind of got lost in history after that.