With the rack in the middle position, preheat the oven to 350°F (180°C). Line 12 muffin cups with paper or silicone liners.
In large bowl add the flours, sugar, baking powder, baking soda, cinnamon, ginger, and salt; whisk well to combine. Add in the applesauce, oil, apple and vanilla; whisk just until combined. Fold in the carrot, raisins, coconut and walnuts; stir until ingredients are combined. Divide batter evenly among prepared muffin cups.
Bake at 400 degrees for 10 minutes, then reduce the heat to 350 degrees and bake for an additional 10 minutes, or until a toothpick inserted in the center comes out clean (or with just a few crumbs attached).