I make my carrot cake in the blender. No need to grate them.
I put all the dry ingredients into a large bowl.
Put eggs, vanilla and milk into the blender.
Cut carrots into chunks. I use about 4 cups of chunks.
Heat carrots in the microwave until they are quite warm. 2 or 3 minutes.
Add half of carrots to blender pitcher and blend. Add more carrots and blend.
Add butter and coconut oil and blend. If pitcher gets too full, pour about half into the dry ingredients.
All all the rest of the carrots and blend. Add all to dry ingredients. Spread into pan and bake.