Preheat the oven to 325 degrees F. Butter a 9 x 5 x 3 inch loaf pan.
2
Mix the sugar and applesauce in a large mixing bowl until blended. Add the eggs one at a time, beating well after each addition.
3
In a small bowl, mash the bananas with a fork. Mix in the milk and cinnamon. In another bowl, mix together the flour, baking powder, baking soda and salt.
4
Add the banana mixture to the creamed mixture and stir until combined. Add dry ingredients, mixing just until flour disappears.
5
Pour batter into prepared pan and bake 1 hour to 1 hour 10 minutes, until a toothpick inserted in the center comes out clean. Set aside to cool on a rack for 15 minutes. Remove bread from pan, invert onto rack and cool completely before slicing.