The Best Carrot Cake Cupcakes with Cinnamon Cream Cheese Frosting

Name: The Best Carrot Cake Cupcakes with Cinnamon Cream Cheese Frosting
Prep time: 20 min
Cook time: 21 min
Total time: 41 min
Cuisine: American
Ingredients: 1 1/3 cups all-purpose flour; 1/2 teaspoon baking soda; 1 1/4 teaspoons baking powder; 1/2 teaspoon salt; 1 1/4 teaspoons cinnamon; 1/2 teaspoon nutmeg; 1/4 teaspoon ginger; 1/8 teaspoon clove (optional); 1/3 cup vegetable oil; 1/2 cup light brown sugar, packed; 1/4 cup granulated sugar; 1/4 cup whole milk; 1/4 cup unsweetened applesauce; 2 eggs; 1 teaspoon vanilla extract; 1 cup finely grated carrots; 6 oz cream cheese, softened; 1/2 cup (1 stick) unsalted butter, softened; 2 1/4 cups powdered sugar; 1/2 teaspoon cinnamon; 1/2 teaspoon vanilla extract; Pinch of salt; 1 tablespoon heavy cream (optional)*