Preheat oven to 350 degrees and line a loaf pan with parchment paper
In a large bowl, mix together applesauce, coconut sugar, milk, flax egg and vanilla until smooth
Mix in the almond flour, oats, baking powder and spices until well combined
Fold in carrots and apples then add to bread dish and bake in oven for 40-42 minutes (I stick a toothpick in and when it comes out clean – it is ready!)
While the bread is baking, make the cream cheese frosting by creaming together the cream cheese, sugar, cinnamon and vanilla with hand mixer
Spread the frosting on the carrot cake when it is cool and slice and enjoy!