I have been flying this plane for a little while now, and I guess I was wondering if anyone besides me has been hearing what sounds like the engines revving up like they are trying to start even though they are shut down.  I have experienced this before with another company/feelthere's crj.  It really isn't that big of a problem, but it can be a little annoying at times.

Hi Christine.

Not sure if this is the same as your problem, but this is what I was getting:
After shutting down the engines on the 737, I hear a whining sound. It sounds like the engines are still running, but VERY quietly.

So after doing some investigating, I found that the TSS-Cockpit.wav, found in FSX\SimObjects\Airplanes\CS_B737-200\sound folder, is the culprit. After renaming it to TSS-Cockpit.BAK, I no longer get that sound after shutting the 737's engines down.

Thanks for replying.  I will try and rename the file and see if it solves the problem. Fortunately it is only the sound and not the engines actually trying to restart on there own.