It is most likely your Keyless Entry Module I believe it is located behind the kick panel in the passenger floor board (that's where it is in my 94). It is a little black box with 2 connectors going into it. Take it out and open it up and it will probably be corroded or missing completely. You can get a new on from tacreations for about $27 shipped.
'94 Trans Am A4; Custom CAI, J. Solomon Tune, Magnaflow cat back, TB bypass, TB Air Foil, Founders Performance PHB and Strut Tower Brace.