check your idle air control valve
Replace your IAC Valve-No more stalling
Your Mercury Cougar might stall in reverse because of a problem with a bad crank sensor. This problem could also be due to the crank sensor wires which are damaged or not wired correctly.
Faulty ECT (engine coolant temperature) sensor. Replace it.
I really doubt it's the tranny making your car stall, it's either carburetor problems or the idle is set too low.
This happened to me on a 1986 cutlass 2.5. A wire was shorting out going to the map sensor and only did it in reverse. The bracket on the alternator had rubbed a hole and only grounded when the motor moved, when placed in reverse. I fixed it temporary with electrical tape.
Likely the fuel filter is clogged so you need to change it. If you can keep the engine running by pumping throttle a few times at start up, and then it runs, check the filter; cost about $10.00. On My 1999 Mercury Grand Marquis I had to replace the Idle air control valve because it did stay running until it was warm
A car might stall when shifting from park to reverse if the idle is set too low. It is also possible that the engine stalls because it is not fully warmed up before shifting from park to reverse.
There are several reasons that a car may stall only in reverse, the best way to narrow down the issue is to use a diagnostic tool. The diagnostic tool will show which sensors on the transmission may be malfunctioning enough to stall the engine.
Why would it stall or almost stall in Reverse but not in Drive? How long since it's received a tune-up and thorough check-up? How is the compression?
I experienced a problem with a 84 Grand Marquis that would stall at stops. Found that the ignition switch in the steering column had separated that caused the stalling problem. Replaced the ignition switch that solved the problem.
try replacing the fuel filter
Because reverse is a lower ratio gear than drive and puts less load on the engine.