How do I communicate effectively and work in an interdisciplinary research team?
It feels like this depends on who the "person" is. If it is a student who is doing a three-week internship, you might just not care (as in: it's not worth it). Same for a PhD student who is not going to play a role in your project.

However, you will have to make sure that the important people in both disciplines understand what the other part is doing and talking about. But none of them, as far as I understand your situation, "should know this" - they do come from a different field, don't they?