Alex,
My auger has a cast or forged point mounted in the end of the central pipe that acts as a pilot for the larger diameter. The end of that point is a small bullet nose rather than a proper cutting edge. When the ground is normal, that bullet nose can just wallow its way down but in hard, dry clay, it won't penetrate. I would like to sharpen the end of it if I could find another point as a backup, just in case. If yours is like this one, you might try finding a way to drill a small hole the diameter of the pilot. Maybe one of those tiny augers you run in a drill. Then, I think the big auger would cut great if you could get the pilot to follow the pilot hole.
John