Step 1
Preheat oven to 325 degrees F (165 degrees C). Spray a bread pan with non-stick cooking spray, and lightly dust with flour.
Step 2
Beat eggs and sugar in a large bowl until they get light and fluffy for about 5 minutes. Then beat in applesauce, milk, bananas, oil and vanilla.
Step 3
In a separate bowl, sift together flour, baking powder, baking soda and salt. Stir flour mixture into banana mixture, mixing just until blended. Fold in walnuts. Pour batter into prepared pan.
Step 4
Bake in preheated pan until golden and a toothpick inserted into center of the loaf comes out clean, about 1 hour. Turn bread out onto a wire rack and let cool.