Preheat oven to 350°F. Line a muffin tin with paper liners or lightly grease it.
In a large bowl, combine the oats, flour, sugar, baking powder, cinnamon, and salt.
Add the coconut, shredded carrots, shredded apple, raisins, and chopped pecans. Stir until dry ingredients are evenly mixed in.
In a separate bowl, whisk the eggs. Combine them with the oil, apple juice, and vanilla extract.
Add the wet ingredients to the dry ingredients and stir until just combined.
Divide the batter evenly among the muffin liners, filling them about two-thirds full.
Bake for 20-25 minutes, or until a toothpick inserted into the center comes out clean.