Preheat oven to 350.
Combine flour, baking powder, cinnamon, and salt in a medium-size bowl. Set aside.
Blend together eggs, oil, applesauce, honey, and vanilla. I HIGHLY recommend a Vitamix! It will make your life so much easier.
Pour wet ingredients into dry ingredients and mix well. Fold in mashed bananas.
Spray one large loaf pan (8.5 in x 4.5 in) lightly with cooking spray. Pour batter into prepared pan.
Bake for 35 to 40 minutes or until toothpick inserted into the center comes out clean.