Preheat the oven to 350 degrees F. Line cupcake pans with cupcake liners (for a total of 40 cupcakes).
For the apple filling: In a medium bowl, mix together the brown sugar, granulated sugar, flour, cinnamon, nutmeg and apples. Set aside.
For the applesauce cake batter: Cream together the granulated sugar, butter and oil in a large bowl. Beat in the eggs one at a time. Add the flour, baking soda, cinnamon, nutmeg and salt and beat until well mixed. Add the applesauce and vanilla and mix well.
Fill the liners one-third full with the applesauce cake batter. Add some of the apple filling on top, and then add additional applesauce cake batter to cover the apple filling; the liners should be two-thirds full. Bake until an inserted toothpick comes out clean, 16 to 19 minutes. Allow the cupcakes to cool completely before frosting.
For the frosting: In a large bowl with an electric mixer, cream together the butter and goat cheese until light and smooth. Add the confectioners' sugar 1 cup at a time and mix until fully incorporated. Add the vanilla bean paste and cinnamon and beat on high until light and fluffy.
Using a piping bag, pipe the frosting onto the cupcakes.
This recipe was created by a contestant during a cooking competition. It has not been tested for home use.