headset won't talk to switch

Make sure headset is fully charged and is not broken or damaged

Sounds like this is an issue related to cross-platform play.

How do multiplayer games and communication work for cross-network play?

In multiplayer games on Xbox Live, privacy and online safety controls determine who can communicate with you using voice and text.

Some games can be played across networks—between people on Xbox Live, people playing on Nintendo or PlayStation, and even, in some cases, on PC.

Set privacy and online safety settings for cross-network play

1. On Xbox One, press the Xbox button
    to open the guide, and then go to System >
   Settings > Account.
2. Select Privacy & online safety >
   Xbox Live privacy > View details and customize >
   Communication & multiplayer.
   Note For a family member, from
   Account, select Family settings > Manage family members. Choose a family member, and then follow step 2 above.
   
3. Choose settings for the following options:
   • You can play with people outside of Xbox Live. This allows or prohibits all cross-network play. Choose
     Allow or Block.
   • You can communicate outside of Xbox Live with voice & text. When you allow cross-network play, you control who can communicate with you. Choose
     Everybody, Block, or In-game friends.
     

Here's a link to Turtle Beach support:

https://support.turtlebeach.com/hc/...16433-Recon-200-Xbox-One-Mic-Usage-Mic-Issues

Also, try charging them, check instructions, make sure that the Xbox-Ps4-Off switch is switched on Xbox.

Make sure you have all your setting to the right settings.

You can also get turtle beach help also
HERE

Make sure your audio options match the following xbox settings, game group or game only. Either way, have the headset plugged in before starting the game.