Being enrolled in ASAP as command referral, does it affect your NCOER?

AR 623-3 Evaluation Reporting System, Section 3-24 will answer that question

I think that it really depends on the outcome of the program and the way the rating scheme decides to handle the entire thing. I would imagine that it can go one of two ways: complete the program successfully and don't give anyone a reason to believe that you are going to abuse substances again and all will be fine or you could fail the program/successfully complete the program and go back to doing whatever was done to get referred and expect an awful NCOER and probably a chapter coming down the pipeline.

That's gonna depend on the circumstances leading to the referral.