I'm just guessing here, but that sounds almost like the main gear got turned around and the one-way bearing is backwards. The gears should be forced to turn when you push the car backwards, and able to freewheel / not move if you hold them still while you slide the car forwards.
This particular...
The issue you're running into is called "gear mesh".
You'll notice how the engine mounts in the chassis are slots rather than holes, this is to let you shift the engine around until the gears are just the right distance apart. You can use a strip of paper to set the approximate distance, it...