2001 Subaru Outback Drive Issue

My 2001 Outback has a jumpy thumping problem when making a 45 degree turn and when going in reverse. My mechanic has been unable to figure out what the problem is. It only happens once the car has been driven for a while

I’m not positive that I know what a “jumpy thumping problem” is, but I am going to take a blind guess from afar that your car has a problem with the center viscous coupler.

This can result from any of the following situations:
…driving for an extended period of time on a “donut” spare tire
…not rotating your tires on a consistent schedule of every 5k miles or every 7.5k miles
…not having a closely-matched set of tires. In other words, all 4 tires must be the same brand, the same model, the same size, and have the same amount of tread wear.

Do any of the scenarios above describe your car?

In any event, I think that you need to take the car to a mechanic who specializes in Subarus, or who at least is more familiar with AWD issues.