Frank, it would be helpful to know if this is an Integra v.1 (with the dial temp setting) or the newer v.2 with a digital controller board. There is no vacuum sensor on the V1 model, and I'm pretty sure there isn't one on the newer model, so Smokey's advice is a bit off base on that account.
Let's start with basics. Are you sure there isn't a blockage in the chute? Try sticking a wire coat hanger up there and wiggle it around a bit to see if anything is stuck. If nothing comes down, we can at least rule that out. It also sounds like it might be possible you just didn't wait long enough or had enough pellets in the auger to get all the way to the top, and the stove cooled and shut down before they got to the burn pot. This motor runs pretty slowly.
How full is your hopper? It might be helpful if you empty the hopper enough to confirm visually that the auger is turning from inside and that it's picking up the pellets. You might have the collar set screw incorrectly positioned on the shaft, and the motor is spinning on the shaft, but not turning the auger, or just barely enough without a load to spin, but not enough under torque to move pellets properly. Be sure you're hitting the flat spot on the auger screw. If you have a clear chute and you have confirmed the hopper is turning, remove the leads from the auger motor and power the motor directly. Let it run a while. It takes a bit of time for the auger to get loaded up with pellets and convey them to the top of the chute.
Check the Auger and Combustion Fan potentiometer settings. Presuming you have a V1 Integra, there is a hole in the face of the user board allowing access to the combustion fan, the pot on the rear of that board is for the auger. Factory settings are at 12:00 (straight up and down). Using a very small blade electronics or eyeglass screwdriver, set them to vertical.
Let us know if any of this is helping.