Place the rack in the center of the oven. Preheat the oven to 400°F (200°C). Line 12 muffin cups with paper or silicone liners.
In a large bowl, combine the flours, brown sugar, baking powder, baking soda, cinnamon, ginger, and salt. Mix well.
Add the applesauce, oil, grated apple, and vanilla. Mix well. Stir in the grated carrots, raisins, coconut, and walnuts, mixing until thoroughly combined. Divide the batter among the muffin cups.
Bake for 10 minutes at 400°F (200°C), then reduce the oven temperature to 350°F (180°C), and bake for another 10 minutes, or until a toothpick inserted into the center of a muffin comes out clean.
