2003 Buick LeSabre - Thumps when it shifts

have a 2003 Buick Le Sabre Custom and it has developed a problem. When I start out in drive, some times I get a “thump” when it shifts This does not happen all the time. I also get a big “thump” when I shift into reverse. My step-son replaced the left front motor mount (drivers side), but I still get the “thump” Some one suggested it could be the bracket on the tail end of the transmission. I don’t think it is the tranny because it shifts smoothly except for the “thump”. Would you have any suggestions what it could be? Thanks, Forrest
I do hope you will answer this question

Since one engine mount has been replaced and there are at least 2 more that are 16 years old, I’d say another bad mount is likely. Might also be nice to know how many miles on the car, the engine in it and if the check engine light is on. Might change my answer.