I am running mine the other way, I have the 1998/1999 sport seats in my 2000 A4 which had 3 wire connectors and the earlier seats which had 2. Look at the wiring diagrams for both cars and you will find the later cars have a shield and then the exciter wire and the ground for the air bag. All you need to do is to use a different connector on the car or the body or you need to splice the wires from the seat to body.
When there is a problem in the connector and the air bag is on for the seat air bag the factory repair is to cut the connector out and crimp it with high quality crimps so you can do it this way. I bought the seat side air bag connector from the newer cars and then swapped this out with the old style plug that was currently on the seat. I just moved the two air bag wires over to the new style plug and ignored the shielded wire which is not used. On your car you would do the opposite, transfer over the air bag wires and just ignore the shield wire and either cut it off or seal it up and zap-strap it aside. You can buy the connector from ECS like I did or find a used one to make it plug and play or you can go the crimp route.
This is my new style plug on the other seats....
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