Sift together dry ingredients. Add egg replacer, soy milk and oil. Stir with fork until smooth. Heat 1 inch deep oil to 365 degrees. Drop dough by teaspoonfuls into hot oil. Turn after a few seconds until browned on both sides, turning once more. Drain on paper towel.
You can either eat them plain or coat them with powdered sugar. They're really good like that.
If you don't know the temerature of your oil, make sure it's not too hot, or the donut hole will still be raw inside and brown on the outside. Make sure you use the nutmeg, because it gives it a nice flavor.