Spray 16 muffin cups with non stick cooking spray. Preheat oven to 350 degrees.
Peel and grate the carrots and apple.
In a large mixing bowl, whisk together the oil, brown sugar, applesauce, eggs, vanilla, carrots, apples, coconuts, and raisins.
Whisk together flour, baking soda, salt, and cinnamon in a small bowl. Add to the wet ingredients with the nuts. Stir gently till mixture is barely combined.
Spoon batter into 16 prepared muffin cups.
Bake 350 degrees for 18-20 minutes or until the tops are set. If you over bake, the muffins will be dry.
Let cool in pans for about 5 minutes, then remove to wire racks to cool completely.