Preheat oven to 325°F and line a 9×13-inch pan with parchment paper.

Mix graham cracker crumbs, melted butter, and brown sugar in a bowl. Press evenly into the prepared pan and bake for 8-10 minutes. Let cool slightly.

In a large bowl, beat softened cream cheese and granulated sugar until smooth. Add eggs one at a time, mixing well after each addition. Stir in vanilla extract.

Pour cheesecake mixture over the cooled crust and spread evenly.

In a saucepan, melt butter over medium heat. Add chopped apples, brown sugar, cinnamon, and nutmeg. Cook for 5-7 minutes until apples begin to soften. Stir in flour and cook another minute until thickened.

Spoon the apple mixture evenly over the cheesecake layer.

Bake for 35-40 minutes, or until the center is just set.

Let the bars cool completely at room temperature, then refrigerate for at least 4 hours or overnight.

Before serving, drizzle with caramel sauce and sprinkle with chopped nuts if desired. Cut into bars and serve.