Preheat oven to 350F degrees. Line a muffin tin with with paper muffin cups.
In a large bowl combine flour, oats, baking powder, cinnamon, and sea salt. In a separate bowl, combine coconut oil, eggs, applesauce, maple syrup (or honey) and vanilla. Add the dry mixture to the wet and combine, don't overmix. Fold in carrots and nuts (if using).
Fill muffin cups to the top. Bake for 30-35 minutes.