Carrot Cake Bars with Cream Cheese Frosting. Ingredients Carrot Cake Bars: • 1¼ cups unsweetened applesauce or oil • 2 cups sugar • 3 large eggs • 2 cups all-purpose flour • 1 tsp baking soda • 1½ tsp baking powder • ½ tsp salt • 1 tsp cinnamon • 2 cups grated carrots • 1 cup shredded sweetened coconut • 1 cup chopped nuts (optional) • 1 tsp vanilla extract • 1 cup crushed pineapple (with juice, not drained) Cream Cheese Frosting: • ½ cup butter, softened • 8 oz cream cheese, softened • 1 tsp va