The only difference with Meter Burn Special Moves is you must press at the end of the Special Move in order to perform the "Meter Burn" variation of the attack. Follow the same setup as "Metahuman" by entering Practice Mode and tagging the Special Moves you need to work on.
Remember to pause the match and go to Practice Options so that you can turn the Burn Meter to Full. The achievement will unlock once you exit Practice Mode, so if it doesn't unlock right away when you perform the last move, don't worry.
Metahuman, Feel The Burn, and Superhuman Checklist & Video Guide