Process oats in blender until they are as fine as flour. Add oat flour to medium sized bowl and combine with coconut flour, cinnamon, baking powder, and salt. Set aside.
Add eggs, yogurt, applesauce, maple syrup, vanilla, shredded carrots, and coconut milk to blender. On low speed, process until well combined and shredded carrots are as small specs. Add wet contents of blender to dry ingredients and stir just until combined. Do not over mix.
Heat griddle on low heat and melt butter. Spoon small amounts of batter onto griddle to form small pancakes. These are tricky to flip, so smaller is better. Cook until pancake isn't very wet, then flip only once and do not smash down. Remove from griddle when both sides are lightly golden brown. Serve with pure maple syrup and toasted coconut.