What's the difference between not any longer and not any more?
What's the differece between not any longer and not any more?
Do we say "He doesn't live here any longer " or "He didn't live here any longer "?

Question

What's the difference between not any longer and not any more?
What's the differece between not any longer and not any more? 
Do we say "He doesn't live here any longer " or "He didn't live here any longer "?

Answer

He no longer lives here. But you could also hear (he doesn't live here any more) it's more proper to say (He no longer lives here.) Or( I'm sorry he doesn't live here any more.)

Answer

You could use "He doesn't live here any longer" and "He doesn't live here any more" interchangeably. They mean the same thing. 
Robert's suggestion sounds very formal to me.
"He didn't live here any longer" is not the correct tense.