We don't know for sure, but most scientists do believe that it goes on forever.
Theoretically, the big bang continues and creates matter and energy infinitly until it stops, in which it creates another universe.
this sentence just gets worse and worse as it goes on jeez
1. the big bang does not "continue," all the big bang is is how the universe started: an incredibly dense, hot, small region of space.
2. the big bang does not create matter
3. the big bang does not create energy
4. the big bang does not continue to make either of those infinitely, there is a finite amount of matter in the observable universe
5. even if it DID continue creating it infinitely it certainly wouldn't ever stop
6. that makes no sense