What kind fighting techniques?

There is no specific style shown on those kind of movies, it had been mix up and things already depends on the actions given by fighting director and choreographer.

You must remember that such is about entertainment and nothing else.

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1-Never seen the films

2-They are films/movies so the MA would be mainly choreography-more like dance than MA

3-The titles of these movies is utter BULLS**T-never back down?...NEVER? sure way to end up dead is following absolute/final rules or ideologies especially in conflict..cant believe stuff like this gets past sensoring..its criminally irresponsible and promotes/supports an idiotic,unthinking,dogmatic perception without any degree of genuine humanity. Here endeth the rant.

Mostly garbage fake ones. The first one had a couple good techniques (triangle choke, armbar), but the second one was Hollywood all the way.

dude those are fake hollywood moves.. that most arent even reals... there was some brazilian jiujijitsue moves that were imiated in that movie tho.. but the movies is just a dramitizing martial arts moves.

Hollywood style.

Hollywood fu (cool looking moves that look pretty and are often impractical) based on MMA.

i think it was the ancient art of "kikinballs" from somewhere deep in the Mongolian forests.