Yall mothafukkas don't know shyt. Batman in the Nolan movies used actual martial arts techniques to subdue. There was alot of counter moves did by Batman. The techniques used are real. They made it a point in that series to show that Batman wasn't trying to kill anyone. Also, how did you expect Batman who is significantly smaller than Bane to physically fight him? The Batman in BvS didn't give a fukk which is why they could use a ruthless fighting style.
it doesnt matter if it was grounded in real-world martial arts. no one gives a fukk. visually, batman's fights in BvS were 1000000000% more compelling. dude was getting hit with bullets, breaking bones, moving like he was part ninja, part JJ Watt, part Rocky Mavia in his prime...
perfect example... the moment in Dark Knight Rises where dude is trying to shoot batman in the subway tunnels, and every time the muzzle flashes batman is closer and closer until he takes him out. compare that to BvS' ninja moment, when batman had everyone shooting at the floor while he was attacking from the ceiling (and you got to see with your own eyes why it worked out that way).
go back and watch that subway scene again. tell me it dont look like batman is playing hop-scotch.
the only thing snyder added in BvS was the kills. the rest of that fight style... that wasnt because batman didnt give a fukk. that's because THAT WAS BATMAN. batman takes pleasure in beating the shyt out of bad guys. he might not kill. but he will break every major bone (depending on how much u piss him off), leave u in traction and let someone else take u to the hospital.