Combine wet ingredients in bowl of food processor. Pulse to beat eggs well.
Add dry ingredients. Mix well.
Fill paper muffin cups almost full. (Because of the lack of gluten, these muffins do not rise like wheat flour based muffins do.).
Bake on center rack of oven for 25-30 minutes or until lightly golden and toothpick inserted in center comes out clean.
Remove muffins from pan and cool on rack. Store in refrigerator. These freeze extremely well.
Try the following variations in place of the applesauce and cinnamon: 1 banana and 1 teaspoon vanilla, 1 whole orange (including peel) and 1 teaspoon ginger, 1 whole zucchini or summer squash (including skin) and 1 teaspoon dried tarragon. Pulse fruits into a smooth paste before adding the other wet ingredients.