Well, that is a bonus 
DISCLAIMER: I have never done this before and am not even an expert in this section. Proceed at your own risk.
As far as I know, the ECU expects to see a certain resistance that a bulb provides. Then, when it sees less than that with the LED, it assumes it is an open circuit with no resistance, and burnt out.
So, figure out which ones on your trailights now are LED and which are bulb. For example:
Brake lights: LED
Turn signal: BULB
Reverse: BULB
etc.
Those are just examples obviously.
After you have that, you need to add one of those resistors to each wire that connects to that bulb.
So hook up the original raillights, and then activate each of the functions one at a time (brake, turn signal, etc) for each of them that is bulb. When you activate one, you will have to check each of the 7 connections with a multimeter, to see which wires are activated when with that function. You will probably need a friend.
When you have all the wires marked, then you will need to add a resistor to each of them that is bulb.
On eBay, looks like they are using a 50w 80ohm resistor.
http://www.ebay.com/itm/One-Load-Resistor-LED-Bulb-Turn-Signal-Lights-Hyper-Flash-Fix-1-Piece-50w-8ohm-/281431014109?pt=Motors_Car_Truck_Parts_Accessories&fits=Make%3AAudi&hash=item4186987add&vxp=mtr
Order from them in China, or buy at your local hardware store.
Alternatively, you could try and get a wiring diagram for your car, and skip the testing. Or, visually trace the individual wires from the tail light, if that is possible.
This is what I had to do on my C5 A6, but I think there were only four wires. Yours is a bit more complicated.
I can’t guarantee that that will work, but that is what I would start with if I wanted to spend the time to make those work.
BTW, I saw those tail lights online, and thought they looked pretty cool. The only thing I didnt like is that the surround seems to be blacked out. Post some pics if you can. I’d like to see what they look like on the car.