Begin by preheating your oven to 350°F (175°C). Prepare a 9-inch round cake pan by greasing and flouring it, or line the bottom with parchment paper for effortless removal later.
In a spacious mixing bowl, combine the grated carrots, almond flour, whole wheat flour, coconut sugar, baking powder, baking soda, ground cinnamon, ground nutmeg, and salt. Mix thoroughly until all dry ingredients are well blended and evenly distributed.
In a separate bowl, whisk together the unsweetened applesauce, Greek yogurt, vegetable oil, eggs, and vanilla extract until the mixture is smooth and creamy.
Gently pour the wet mixture into the bowl of dry ingredients. Stir carefully until just combined; take caution not to overmix the batter. If you wish to add some texture, fold in the chopped walnuts and raisins at this point.
Transfer the batter to the prepared cake pan, using a spatula to smooth the top evenly.
Bake in the preheated oven for 25 to 30 minutes, or until a toothpick inserted into the center comes out clean, indicating the cake is perfectly done.
Once baked, allow the cake to cool in the pan for about 10 minutes before carefully transferring it to a wire rack to cool completely.
In a mixing bowl, blend together 1 cup of Greek yogurt, 2 tablespoons of honey or maple syrup, and 1 teaspoon of vanilla extract. Mix until the texture is smooth and creamy.
When the cake has cooled fully, generously spread the Greek yogurt frosting over the top using a spatula, creating an inviting finish.
Notes
Enhance the appearance by garnishing with chopped walnuts and carrot ribbons.