1. In a large bowl, combine the flours, sugar, baking soda, and spices, and stir to mix well. Add the applesauce, molasses, and egg whites, and stir to mix well.
2. Coat a 9-x-l3-inch pan with cooking spray, and spread the batter in the pan. Bake at 325°F for 40 minutes, or just until a wooden toothpick inserted in the center comes out clean.
3. Cool the cake to room temperature.