• Preheat the oven to 180 °C. Grease 3 x cake tins (20 x 5 cm).
• In a large mixing bowl, whisk together the flour, baking powder, baking soda, sugar, cinnamon, nutmeg and salt.
• In a separate bowl, whisk together the applesauce, milk, vanilla, and oil.
• Add the wet ingredients to the dry ingredients and mix through.
• Fold in the grated carrot and stir until just combined.
• Divide the mixture into the 3 prepared cake tins and bake for 20-22 minutes.

Cream Cheese Frosting

• Beat the butter and cream cheese with an electric mixer until creamy.
• Add in the icing sugar, vanilla and lemon juice and beat until fluffy.
• When the cakes are completely cool, frost the top of one cake with ⅓ of the icing mixture. Add the second cake and top with another ⅓ of the icing mixture. Add the last cake and top with the remaining icing. Leave the sides of the cake unfrosted.