1995 Ford Probe CUTS OUT ON ACCELERATION

The problem started with a timing belt tensioner failure
belt was slapping case but the car still ran and drove. The belt and tensoner were replaced and has been rechecked a second time the belt is installed correctly all marks line up. The car starts and idles normal with very slight sputter or miss. The problem is that under acceleration cuts out and misses and back fires badly. If you roll into the thottle slowly it dosen't miss or cut out as bad. It will lag or almost cut out on a snap thottle. We have installed new plugs and wires, and have replaced air flow sensor and crank angle sensor with used parts. Have checked
thottle position sensor. I still suspect air flow meter problem. Any ideas what else we shound check