I have the same issue with the audio everytime on the xbox controller ,i tested on 3 games:
apex, r6 and cod
Im playing on xbox , the moment i connect headphones to roller , mouse stop working , i need to turn off and on the device, and i lose audio sometimes , so i opted out and i just connect it to the monitor audio plug , but yeah hes right
some more info: I'm using an orignal xbox roller , on the original console , with all orignal cables, i can confirm this is a reasnow issue , i have friends with the same issue when they stream, stream have either no audio from game or audio from the headphones , is one or the other , never both