Preheat your oven to 400°F and lightly grease a small oven-safe baking dish.
Heat the olive oil in a skillet over medium heat and sauté the cubed eggplant until it is softened and lightly browned.
Add the ground lamb, diced onion, and minced garlic to the skillet, cooking until the meat is fully browned and crumbled.
Stir in the cumin, cinnamon, sea salt, black pepper, and tomato puree, then simmer for 2 minutes to meld the flavors.
In a separate bowl, whisk together the plain Greek yogurt and the egg until the mixture is smooth and consistent.
Transfer the lamb and eggplant mixture into the prepared baking dish, spreading it into an even layer.
Pour the yogurt and egg mixture over the top, smoothing it out to the edges to create a thick seal.
Bake for 15 to 20 minutes until the creamy topping is set and develops a beautiful golden hue.