Not sure what they've done with the rear right speaker connection (pin 1 & 2 on the brown plug). I'd imagine the Blue/Red and Brown/Red wire need to be reconnected to pins 1 & 2.
You'd need to have a look at the wires on the rear right speaker to ascertain which is positive and which is negative. If in doubt get a friend to connect an AA battery across the wires, while you put your hand on the rear right cone. If the cone moves up/out then the wire connected to the +ve of the battery is the +ve wire, if it moves down/in then it's the negative.
Forget the green plug you don't need it.
So all we need to do is connect up the black power ISO correctly. Is your numbering consistent between the socket on the Audi loom and the plug on the HU? i.e. the plug will be the reverse of the socket.
This is a pic of the standard power ISO on an Audi, the wire colours may change but ground is always brown.
If we take the red wire with a white stripe as pin 1 (UB+ in the diagram), and ground as pin 2 and the yellow wire with red stripe as pin 6 (S-kont). Those are the only pins you need to power the unit.
So using a 12v testing screwdriver ensure you have perm 12v on pin 1, and switched 12v live on pin 6, this should be live with ignition on then 0v when you take the keys out.
Having established the above is all correct on the Audi loom, you just need to connect up your HU plug so that:
Perm live (pin 1) goes to pin 1 on the socket
ACC (pin 3) goes to pin 6 on the socket
Ground (pin 2) goes to pin 2 on the socket
If the HU plug does not have a pin 6 populated then you'll need a very small screwdriver to release the pin and move it to pin 6 location. Shove the screwdriver down the wire side and wiggle it about while pulling on the wire. Alternatively cut off the plug completely and rewire it to the black plug on the spare adapter you have (last pic above) which I can see does have pins 1,2 & 6 populated.