Preheat your oven to 400°F (200°C).
Brown the ground lamb in a skillet over medium heat until no pink remains, then drain any excess fat.
Add the cubed eggplant and minced garlic to the skillet, cooking for 5-7 minutes until the eggplant is tender and fragrant.
Stir in the sea salt, black pepper, ground cumin, and smoked paprika to evenly coat the lamb and vegetables.
In a separate small bowl, whisk together the Greek yogurt and the egg until the mixture is smooth and completely combined.
Transfer the spiced lamb and eggplant mixture into a small oven-safe baking dish.
Pour the yogurt and egg mixture over the top, using a spoon to spread it into an even layer that covers the base.
Bake for 18-20 minutes until the topping is set and develops a beautiful golden color.
Garnish with freshly chopped parsley and serve immediately while hot.