Googled and found this,hope it helps.
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To the OP, this product is unlikely to work with an Xbox controller. It is intended to be used with certain car stereos. The Xbox controller doesn't have the capability to communicate with a USB device AFAIK.
Damn.
I'm really surprised that I wasn't able to just search up an adapter an adapter or something specifically for this issue.
Unfortunately unless it's one of the few Xbox trademarked devices it won't work with USB. It's a real pain in the ass and limits the amount of great headsets we can use.