Step 1

Preheat the oven to 350°F and grease a 9-inch round baking pan, 8x8 square pan, or two 6-inch round cake pans.

Step 2

In a large bowl, whisk together the flour, baking powder, baking soda, cinnamon, nutmeg and salt.

Step 3

In a medium bowl, whisk the eggs and then whisk in the applesauce, maple syrup, almond milk, coconut oil, and vanilla. Stir in the carrots.

Step 4

Pour the wet ingredients into the bowl of dry ingredients and stir until just combined.

Step 5

Pour the batter into the baking dish and bake for 35 to 38 minutes, or until a toothpick inserted comes out clean. Let the cake cool completely before frosting.

Step 6

Make the frosting: In a large bowl, beat the cream cheese and butter with an electric mixer until smooth. Add the vanilla and powdered sugar and mix until smooth.