If I understand correctly, you just need to repair 2 cut wires. Make sure you join the same wires together, they are color coded, may need to clean them a bit to see the colors, you can use a solvent like wd40 to clean the grime off. Then you can join them, I would recommend soldering them, you can search the net on how to solder wires, you also then need to protect the solder, minimum you can use electrical tape, I would recommend something called shrink tubing, again look on the net for info on repairing automotive wires, there are several different ways to repair wiring but I recommend learning how to solder.
http://www.youtube.com/watch?v=Q9G9gaokqvM
http://www.youtube.com/watch?v=kjSGCSwNuAg
How to solder wires together, easily and professionally - YouTube