Preheat oven to 375°F (190°C) and grease or line a standard 12-cup muffin tin.
In a large mixing bowl, whisk together the rolled oats, whole wheat flour, baking powder, baking soda, cinnamon, and salt.
In a medium bowl, whisk the eggs, then incorporate the maple syrup, melted coconut oil, Greek yogurt, vanilla extract, orange zest, and orange juice until smooth.
Pour the wet ingredients into the dry ingredients and stir with a spatula until just combined.
Fold the grated carrots into the batter.
Distribute the batter evenly into the 12 muffin cups.
Bake for 18 to 22 minutes or until a toothpick inserted into the center of a muffin comes out clean.
Allow muffins to cool in the pan for 5 minutes before transferring to a wire rack to cool completely.