Preheat oven to 325, spray loaf pan with non stick spray and coat with flour. In a large bowl beat eggs and sugar about 5 minutes until light and fluffy. Beat in bananas, applesauce, milk, oil and vanilla.
In a seperate bowl mix dry ingredients. Mix into banana mixture. mix until just blended. Pour into loaf pan. Bake for about 1 hour or until toothpick comes out clean