In medium bowl stir together flour, baking powder, cinnamon, baking soda, nutmeg and salt. Set aside.
In large bowl combine KELLOGG'S ALL-BRAN COMPLETE WHEAT FLAKES cereal, applesauce, milk and egg substitute. Let stand about 2 minutes or until cereal softens. Add brown sugar and oil. Beat well. Add flour mixture, stirring until just combined. Fold in fruit bits. Portion evenly into twelve 2 1/2-inch muffin-pan cups coated with cooking spray or lined with foil bake cups.
Bake at 375°F about 17 minutes or until toothpick inserted near center comes out clean. Cool in muffin pan for 5 minutes. Remove from pan. Serve warm or cool.
*Note: if desired, substitute 1 slightly beaten egg or 2 slightly beaten egg whites for the egg substitute.