In a large bowl, beat the bananas, brown sugar, applesauce, oil and eggs until well blended. Combine the flours, baking powder, baking soda, xanthan gum, salt and cinnamon; gradually beat into banana mixture until blended. Stir in the carrots, raisins and walnuts.
Transfer to a 9x5-in. loaf pan coated with cooking spray. Bake at 350° for 50-60 minutes or until a toothpick inserted in the center comes out clean. Cool for 10 minutes before removing from pan to a wire rack.
Read all ingredient labels for possible gluten content prior to use. Ingredient formulas can change, and production facilities vary among brands. If you're concerned that your brand may contain gluten, contact the company.