PREP: Position a rack in the center of the oven and preheat the oven to 350ºF. If you want, you can line your cupcake pan with paper liners. Or spray the insides with cooking spray. Sprinkle half the oats on the liners, set aside.
DRY INGREDIENTS: In a medium bowl, sift together the flour(s), baking soda, cinnamon, ginger, and salt, set aside.
WET INGREDIENTS: In a large bowl with a whisk, hand mixer, or stand mixer, on medium speed, combine the brown sugar and oil. Beat in the yogurt and apple sauce until fully combined - about 1 minute. Mixture will be gritty and thin. Add the eggs, one at a time, beating well after each addition. Mix in the vanilla.
BATTER: With a spatula, manually stir the flour mixture into the wet ingredients until just combined and all flour pockets are gone - do not overmix. Fold in the finely shredded carrots, shredded coconut, raisins, and walnuts. The muffin mixture will be thick. Pour into prepared cupcake pans. Sprinkle the remaining oats on top and shaved coconut too if you'd like.
BAKE: for 20-23 minutes or until a toothpick inserted in the center comes out clean or with just a few crumbs. Let cool for several minutes before devouring!