Preheat your oven to 350°F (175°C) and line a 9x13 inch baking dish with parchment paper, leaving some overhang to help lift the bars out later.
In a mixing bowl, combine the graham cracker crumbs, 1/4 cup sugar, and melted butter until the mixture resembles wet sand.
Press the crumb mixture evenly into the bottom of the prepared baking dish to form a crust. Bake for 8-10 minutes or until lightly golden. Remove from oven and set aside to cool.
In another bowl, beat the softened cream cheese with 1 cup of sugar until smooth and creamy. You can use an electric mixer or whisk by hand.
Add the eggs one at a time, mixing well after each addition. Then stir in the vanilla extract.
In a separate bowl, mix the diced apples with cinnamon and nutmeg until evenly coated.
Fold the cinnamon apples into the cream cheese mixture.
Pour the apple cheesecake mixture over the cooled crust and spread it out evenly.
Drizzle half of the caramel sauce over the top of the cheesecake layer. Use a knife to swirl the caramel gently for a marble effect.
Bake in the preheated oven for another 30-35 minutes, or until the center is set and slightly jiggles.
Allow the bars to cool at room temperature, then refrigerate for at least 2 hours to fully set.
Once chilled, lift the bars out using the parchment paper overhang and cut into squares. Drizzle with remaining caramel sauce before serving.