Prepare the crust: Preheat your oven to 325°F (163°C). In a medium bowl, mix the graham cracker crumbs, melted butter, and 2 tablespoons of sugar until well combined. Press the mixture into the bottom of a lined 9x9-inch baking dish to form an even crust. Bake for 8 minutes, then remove from the oven and set aside to cool slightly.
Make the cheesecake filling: In a large bowl, beat the softened cream cheese with 1/2 cup of sugar and vanilla extract until smooth and creamy. Add the eggs one at a time, mixing well after each addition. Stir in 1 teaspoon of cinnamon until fully incorporated.
Prepare the apple filling: In another bowl, toss the sliced apples with brown sugar, lemon juice, nutmeg, and cornstarch until the apples are well coated.
Layer the cheesecake bars: Pour half of the cheesecake filling over the baked crust, spreading it evenly. Layer the apple filling over the cheesecake layer, followed by the remaining cheesecake filling. Spread it gently to cover the apples.
Bake the bars: Bake in the preheated oven for 30-35 minutes or until the cheesecake is set and the edges are lightly golden. The center may still be a bit jiggly; it will firm up while cooling.
Cool and slice: Remove the bars from the oven and let them cool at room temperature for about 30 minutes, then refrigerate for at least 2-3 hours (or overnight) to help set further. Once chilled, lift the bars out with the parchment paper and slice into squares.
Notes
Serve chilled, dusted with powdered sugar and drizzled with caramel sauce.