I see a few different things that could be causing the issue. Let's diagnose it.

Step 1. Jack and support front of car. Turn one wheel as if the car was driving forward, does the other wheel turn in the opposite direction? It should. This would be a differential test.

Step 2. If you start the car and put it into D or 3, do you get no movement? If yes continue on, put the car in 2 or 1, do you get some movement, not good, but something? This tests the foward band. A broken band will cause no engagement in D or 3