Hi Nelmarie, On your 1991 Honda Accord, (assuming it's an automatic) if it shuts off only in reverse it may or may not be transmission related. The vehicle will need to be road tested to recreate your concern. Give a shop that you choose a complete description of when it happens and under what circumstances. This will usually save you time and money. Good Luck.
〉 Answered on Mar 30th, 2015 by Maryann Croce, Owner at Croce’s Transmission Specialists