Speed in punching kicking striking and general athletic movement.
Just general speed know how for MMA and stand up basically
Drilling striking / kicking technique.
Speedbag / Double End Bag.
Drilling footwork.
You can use short hip bands to make sure you keep a proper stance as you move around.
Shadowboxing.
Striking/kicking drills with bands.
Training CNS through heavy compound exercises like deadlifts, squats, cleans, snatch, jerks, etc
Training CNS through Isometrics
Training power through compound lifts like snatch, cleans, jerks, etc, (triple extension)
Training power through plyometrics(various explosive push up variations, medicine ball throws, hops, bounds, depth drops, etc), sledgehammering a tire, tire flips, etc(depending how you do it you can focus on power or endurance)
You can separately do various balance, reaction, agility, ballistic, etc training..
Ballistic training is an effective training method to improve an athlete's power output, and therefore, their speed and jump height.
www.scienceforsport.com
You can also use some training methods from other disciplines like light athletics (track & field) with training to reduce ground contact time.