Preheat your oven to 400°F (200°C).
Dice the eggplant into 1-inch cubes and lightly sprinkle with a pinch of sea salt; let sit for 10 minutes, then pat dry with a paper towel.
In a medium skillet over medium heat, add the olive oil and sauté the diced yellow onion and minced garlic until soft and translucent.
Add the ground lamb to the skillet, breaking it up with a wooden spoon, and cook until completely browned.
Stir in the ground cinnamon, ground cumin, sea salt, and black pepper, then pour in the tomato puree and simmer for 3 minutes.
Add the eggplant cubes to the lamb mixture and cook for an additional 5 minutes until the eggplant begins to soften.
Transfer the lamb and eggplant mixture into a small individual-sized oven-safe baking dish.
In a small mixing bowl, vigorously whisk together the plain Greek yogurt and the large egg until the mixture is smooth and combined.
Pour the yogurt and egg mixture over the lamb and eggplant, spreading it to the edges to create an even layer.
Bake for 20-25 minutes until the creamy topping is set and develops a light golden brown color.