What Condition Can Concrete Be In And Be Recycled?
You're fine, as long as the amount of debris is low.  A bit of carpet glue, no problem.  Huge chunks of carpet, or mud, no good.  Of course you can ask the recycling company for a contamination rate, but pretty much if it looks clean, it's good to go.
https://en.wikipedia.org/wiki/Concrete_recycling