Preheat your oven to 400°F and line a baking sheet with parchment paper.
Slice the eggplant into 1/2-inch thick rounds and arrange them in a single layer on the prepared baking sheet.
Lightly brush the eggplant rounds with olive oil and roast for 15 minutes until they are softened and slightly golden.
While the eggplant roasts, place a skillet over medium heat and brown the ground lamb with the minced garlic.
Season the lamb with ground cinnamon, dried oregano, sea salt, and black pepper, stirring well to combine.
Add the tomato puree to the skillet and simmer for 5-7 minutes until the sauce has thickened significantly.
In a small mixing bowl, whisk together the non-fat Greek yogurt and the egg until the mixture is completely smooth.
In a small oven-safe baking dish, layer half of the roasted eggplant, followed by the entire lamb mixture, and then the remaining eggplant.
Pour the yogurt and egg mixture evenly over the top layer of eggplant and sprinkle with the grated parmesan cheese.
Bake for 20-25 minutes until the topping is set and has developed a beautiful golden-brown color.