Preheat oven to 350 degrees F, and spray a loaf pan with non-stick cooking spray.
Cream together applesauce in addition to sugar. Add bananas and milk. Mix well until combined; add egg whites and continue to blend.
Mix together, slowly adding flour, baking soda, powder, salt and nutmeg. Mix until almost entirely combined, there may still be some dry spots of flour mixture.
Bake for 30 minutes at 350 degrees F; turn oven down to 325 degrees F and bake for an additional 15-20 minutes
Recipe by In Good Taste at http://ingoodtaste.kitchen/banana-bread-recipe/