4 tablespoons (1/2 stick) unsalted butter, plus more for pan
1 cup packed light brown sugar
1 1/2 cups unsweetened applesauce
2 cups all-purpose flour
1 teaspoon baking powder
1 teaspoon baking soda
1/2 teaspoon cinnamon
1/4 teaspoon salt
4 ounces cream cheese, at room temperature
2 tablespoons unsalted butter, at room temperature
1 cup confectioners' sugar
1 tablespoon pure maple syrup
How to Make It
Make cake: Preheat oven to 325°F. Butter an 8-inch square, nonstick pan.
In a saucepan, melt butter with sugar over medium heat, stirring until butter has melted and sugar has dissolved. Remove from heat; whisk in applesauce. In a large bowl, whisk flour, baking powder, baking soda, cinnamon and salt. Add applesauce mixture and stir until just combined.
Pour batter into prepared pan. Bake until a toothpick inserted into center comes out clean, 35 to 40 minutes. Let cool in pan on a wire rack for 10 minutes, then turn out onto rack to cool completely.
Make frosting: Using an electric mixer on medium-high speed, beat cream cheese and butter until blended. Beat in confectioners' sugar and maple syrup until smooth. Spread over cake; serve.
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