Spray 12 muffin cups with nonstick cooking spray or line with paper cups. In a large bowl, combine all- purpose flour, white whole wheat flour, sugar, flaxseed meal, cinnamon, baking powder, baking soda, and salt.
In a medium bowl combine applesauce, egg, vanilla and carrot. Add to flour mixture and mix just until combined. Divide batter among 12 muffin cups.
Bake in a 350 degrees F oven for 20 to 24 minutes or until toothpick inserted in center comes out clean. Cool completely.