Preheat oven to 350° F. Spray three 9-inch round cake pans with cooking spray. Line with parchment paper. Set aside prepared cake pans.
In a large bowl, whisk together sugar, brown sugar and eggs until thoroughly combined. Or you can use and electric mixer on medium high speed.
Add the applesauce, oil and butter. Stir to combine. Then stir in the carrots and remaining dry ingredients (flour, baking powder, baking soda, spices and salt). Pour into prepared pans. Bake for 28-30 minutes or until a toothpick inserted in middle comes out clean. Let cake cool in pan on a wire rack.
For the frosting
In a large bowl, beat the cream cheese and butter with an electric mixer until soft, creamy and combined thoroughly. With mixer on low, gradually add powdered sugar. Then add vanilla. Turn mixer up to medium speed and beat for 2 minutes. Fill and frost cake layers.
If desired, reserve about 1/2 cup of frosting for decoration. I used 1/4 cup green frosting and 1/4 orange frosting to create little carrots on the edge of the cake. I used a #3 tip for the green birthday message and tops of carrots. I used a #5 round tip to pipe the little carrots on top of the cake.
Notes
Can I make one large single-layer cake? Yes, you can bake the carrot cake in a greased 13" x 9" baking pan. Make sure to increase the baking time though. It will take 35-40 minutes in a 350° oven.Can I add raisins to this easy carrot cake recipe? Yes, you can. I’d recommend stirring in a heaping cup when you add the carrots and (optional) nuts. The amount is up to you, about a cup should be a good amount.How do I store my cake? Carrot cake should be stored in the fridge in airtight container or covered in plastic wrap for up to 5 days. Then let rest at room temperature a while before you serve it – unless of course you prefer it cold (it’s tasty that way too).How do I freeze carrot cake? Wrap the cooled layers as above, and freeze for up to 6 months. Add the frosting after thawing the cake.