Preheat oven to 350 F, Grease a 13x9x2 baking pan; set aside. Peel, core, and coarsely shred one apples using a box grater; thinly slice remaining apple. Cover; set aside.
In a large bowl whisk together butter, brown sugar, apple butter, eggs,and vanilla until smooth. Add flour, baking powder, baking soda, and salt; whisk to combine. Fold in dried and fresh shredded apple. Spread batter into prepared pan. Arrange apple slices over batter.
.Bake 40 min or until golden and a toothpick comes out clean. Remove to a wire rack. Pour maple icing over hot cake,, spread evenly. Cool completely. Dust with cinnamon.
Maple Icing: In a small bowl stir together 1/3 cup powdered sugar, 1 TBSP melted butter, 1 TBSP maple syrup, 1 TBSP milk, and 1/4 tsp vanilla until smooth.