The moves are based on the (X) and (B) buttons.
This is a list of all the moves I tried to unlock this:
Down, Left, X
Down, Right, X
Run Left, X
Run Right, X
Up, X (only works near enemies)
Jump, X
Jump, use weapon (credit to x Jameoooooooo)
Grapple RT, X
Repeat, replacing X with B to guarantee you get all moves (you may not need all moves to unlock achievement).
Please let me know if this does not work, or I am missing moves!