Turtle Beach Ear Force XO Seven, released Summer 2013. Model Number: TB300-2219-01. Compatible with the XBox One and mobile platforms. Taking apart the headset is relatively easy and beginners should have no problems.
Check that you're not muted on your computer. If that doesn't fix it, you can also check if the controller is faulty by testing the microphone with another program. Is the problem is still there, you probably have to replace the microphone jack <LINK HERE>.