Preheat your oven to 400°F.
Heat the olive oil in a skillet over medium heat and brown the ground lamb while breaking it up with a spatula.
Season the lamb with sea salt, black pepper, garlic powder, cinnamon, and cumin, stirring well to incorporate the aromatics.
Add the cubed eggplant to the skillet and cook for 5-7 minutes until softened, then stir in the tomato puree and remove from heat.
Transfer the lamb and eggplant mixture into a small oven-safe baking dish, spreading it into an even layer.
In a separate small bowl, whisk together the Greek yogurt and the egg until the mixture is completely smooth and pale.
Pour the yogurt mixture over the lamb and eggplant, using the back of a spoon to spread it to the edges.
Bake for 15 to 20 minutes until the creamy topping is set and develops a light golden hue.