Chosen Solution

My cat chewed through my headset. I can see all wiring but not sure how to get them back together. It was chewed through above usb port and below the jack that plugs in to the controller. Update (09/01/2016)

Picture of what the wires look like

As long as you know what wires connect you each other you will be fine. If you have access to a soldering iron, that would be your best bet - simply solder them back together, ensuring that you keep each different color completely separated from the others and then using electrical wire or heat shrink to cover each individual color. What ever you do do though, it isn’t going to look very neat anymore unfortunately.