Preheat oven to 350°. In a large bowl, combine flour, baking soda and salt. In a small bowl, whisk eggs, bananas, sugar, applesauce, oil and vanilla. Stir into dry ingredients just until moistened., Transfer to two greased 8x4-in. loaf pans. Sprinkle with walnuts. Bake until a toothpick inserted in the center comes out clean, 45-55 minutes. Cool for 10 minutes before removing from pans to wire racks.