Preheat the oven to 350°F (175°C) and grease a 9x13-inch baking dish.

Prepare the apples: In a medium-sized bowl, mix the diced apples with sugar, cinnamon, nutmeg, and cornstarch until the apples are evenly coated.

Cook the apple mixture: Heat a skillet over medium heat and add the apple mixture. Cook for about 5-7 minutes, stirring occasionally, until the apples begin to soften and the mixture thickens. Remove from heat and set aside.

Prepare the cinnamon rolls: Open the cans of cinnamon rolls and separate them. Place one layer of cinnamon rolls in the bottom of the greased baking dish. Press them down slightly with your hands or a spatula to create an even layer.

Assemble the lasagna: Spread half of the cooked apple mixture evenly over the cinnamon rolls. Drizzle some caramel sauce on top. Add another layer of cinnamon rolls on top of the apples and press down gently. Spread the remaining apples over this second layer of cinnamon rolls, and finish with another drizzle of caramel sauce.

Bake: Cover the dish with aluminum foil and bake for 25-30 minutes, or until the cinnamon rolls are fully baked and golden.

Top with icing and serve: Remove the cinnamon rolls from the oven and let them cool slightly. Drizzle the icing that comes with the cinnamon rolls on top and add a final touch of caramel sauce if desired. Serve warm for a delicious dessert experience.