UGA should be plenty motivated. How I'm the world could they not be?
CFB is currently Clemson & Bama, then Ohio State, and then everyone else. Don't fool yourself, UGA is an "everyone else" program.
They lost 2 games this year (as usual). It's not like they're a playoff caliber team, so playing Cincinnati should provide plenty of reasons to not want to further embarass themselves.
If they lose it'll be because Cincinnati is better.