Preheat oven to 350 degrees. Spray a loaf pan with nonfat cooking spray.
In a large mixing bowl, beat together, sugar, butter, egg substitute, vanilla extract, and applesauce. Using a rubber spatula, fold in the bananas.
In a separate bowl, combine all the dry ingredients.
Slowly mix the dry ingredients into the wet ingredients, about 1/2 a cup at a time.
Pour the mixture into the loaf pan, and bake in the oven for about 45-50 minutes, or until a tooth pick inserted onto the center of the bread comes out clean.
Let bread cool in pan for 5 minutes, then transfer to a wire cooling rack. Cut into 8 equally sized slices.