can the downstream 02 sensor make the idel rough,and hesatate on take off,

What is your question?

I reasantly changed the crankshaft posion sensor. the car has backfired a few times before the sensor change.could that have hurt the 02 sensors? I also replaced the mass air flow sensor for the second time in 4 years. What could cause this to happen? I replaced with remanufactored is that the problum.