Thanks for reaching out LHMoose,
It sounds like you're having some trouble with your headphones disconnecting after you end a FaceTime call. We can help.
First, let's make sure you are on the current public iOS version. At this time, the latest public version is iOS 16.5.1.
- If you are on an earlier version, you can follow these steps to Update iOS on iPhone.
- If you are on a beta version, these are still in development and may not work as expected. Be sure to report your experience with Feedback Assistant and restore to a public iOS version: Apple Beta Software Program
If you continue having issues after moving to the current iOS version, or if you are already using iOS 16.5.1, you can connect with Apple directly using either Get Support or if you're in a region without direct support options, you can also Contact Apple for support and service.
Hope that helps.
Take care.