>>18765646
They would have been converted into Christianity

Closest parallel might be something like Attila's empire/Avars second boogaloo. So some horde based on the hungarian plain that had vassal states akin to what the russian states were to the Golden Horde. I don't see it projecting much power though after the initial era of conquest and maybe 1 strong khan.

The germans and italians and whatever is under this "yoke" would break it off pretty fast since unlike russia they were rich populous and advanced. Support from the Golden Horde would be limited at best, at worst they would fight each other like mongols love to do.

After that it will become Hungary: but with a Mongol Elite. I think that eventually a khan would convert to christianity and if not would face a crusade.