|In a large bowl, combine first seven ingredients, flour through nutmeg. In another bowl, beat egg yolks until light and lemon-colored. Beat in honey and orange peel. Stir into dry ingredients just until moistened. Fold in the bananas, carrots and applesauce.
In a small bowl, beat egg whites on high speed until stiff peaks form; fold into batter a third at a time.
Fill greased or paper-lined muffin cups two-thirds full. Bake at 350° for 25-30 minutes or until a toothpick comes out clean. Cool for 5 minutes before removing from pan to a wire rack. Yield: 9 jumbo muffins.