Step 1: Prepare the Cake Batter

Start by preheating your oven to 350°F (175°C). Grease and lightly flour a 9×13-inch (23×33 cm) baking pan or two 8-inch round pans if you want a layer cake.

In a medium-sized bowl, whisk together the flour, baking powder, baking soda, cinnamon, nutmeg, and salt. Mixing dry ingredients first ensures even distribution, especially with spices and leavening agents.

In a separate, larger mixing bowl, beat together the vegetable oil, applesauce, granulated sugar, and brown sugar until the mixture is smooth. You can use a handheld electric mixer or whisk vigorously by hand.

Add the eggs one at a time, mixing well after each addition. This helps the batter stay smooth and emulsified. Stir in the vanilla extract.

Gradually add the dry ingredients into the wet mixture. Use a spatula or mixer on low speed to combine just until there are no visible flour streaks. Overmixing can lead to a dense cake.

Gently fold in the grated carrots, crushed pineapple, shredded coconut, and nuts (if using). Stir until evenly distributed. The batter will be thick but moist.

Step 2: Bake the Cake

Pour the batter into your prepared pan(s), smoothing the top with a spatula. Place the pan(s) in the center of the oven and bake:

• 40–45 minutes for a 9×13-inch pan

• 30–35 minutes for round cake pans

To test for doneness, insert a toothpick or skewer into the center of the cake. If it comes out clean or with a few crumbs (but no wet batter), the cake is done.

Let the cake cool in the pan for about 10 minutes. Then transfer it to a wire rack to cool completely before frosting. Trying to frost a warm cake can cause the frosting to melt or slide.

Step 3: Make the Cream Cheese Frosting

In a large bowl, beat the softened cream cheese and butter together until the mixture is smooth and fluffy. Slowly add the powdered sugar, one cup at a time, mixing thoroughly between additions.

Add the vanilla extract and, if needed, a tablespoon of milk at a time to reach your preferred consistency. The frosting should be creamy and spreadable but not runny.

Step 4: Frost and Decorate

Once the cake has completely cooled, spread the frosting evenly over the top (and sides, if using round pans). For decoration, sprinkle more shredded coconut or chopped nuts. You can also add a pinch of cinnamon or pineapple tidbits on top for flair.