Tutorial for Multiple Animation/Montage On a Character

Now i have to learn some simulation move with left hand and right hand.

<LB/L1> = Left Punch
<RB/R1> = Right Punch

is there a tutorial to make this animation work?

Everytimes i do on this i only can work on <L1> to Left Punch, but <R1> will also become Left Punch.

Appreciate to help~~:(