If its early in the batman it goes to beyond easily. Early the bat man was not great, the batman character in that show got better as time went on. If its later The batman then its more even, but I would probably still give it to the beyond universe.
@rpottage: I would disagree with that, terry has fought some impressive people to. People the batman would struggle with.
Like who though? Both fought Superman and The Batman had a better showing, Terry seemed to struggle with the original Villains (like when Freeze came back and when the Joker returned, both villains that The Batman often dealt with without much trouble), and the Batman led a group of non-powered humans against a group of super-powered beings (Lost Heroes).
Its been a while since I have seen the batman beyond cartoons, so im probably not a good person to say. All I can think of right now is ink. I was just less impressed with things the batman did. Joker in there was a Rastafarian kick boxer, and he gave the batman more trouble than I thought he should have. If this were batman from TAS it would probably be different.