In a small mixing bowl combine dry ingredients (flour, baking soda, cinnamon, nutmeg, salt)
In a large mixing bowl whisk together butter, applesauce, and both sugars; add egg and vanilla and mix well; pour the dry ingredients into this mixture and combine well
Drop rounded cookie dough (tablespoon vs small cookie scoop) onto cookie sheet. Bake at 375 degrees Fahrenheit for 10-12 minutes (or until cookies no longer gooey in the center).