Heres the list of fighting moves/moves Vexx can do:

Flare Kick: Jump and press B while in the air
Uppercut: Hold L and press B
Booster Jump: Hold L and press A
Ground Pound: Jump and press L while in the air
Combo: press B 3 times in succession
Combo Punch: press B two times, hesitate and hold B to charge release B to do the attack
4-hit combo: press B twice, hesitate and press b twice again
4-hit combo # 2: perform combo punch then press B again
Jump: press A
Talon Charge: fill up talon meter and press R, press B to shoot blue blasts.