Cheat's moussaka

Ingredients

• 3 1/2 tablespoon olive oil
• 1 large brown onion, chopped
• 1 large carrot, grated
• 3 cloves garlic, minced
• 1 teaspoon ground allspice
• 1/2 teaspoon ground cinnamon
• 2 teaspoons rosemary, chopped finely
• 800 grams lamb mince
• 1 1/2 tablespoon plain flour
• 2 cups tomato passata
• 1 tablespoon sugar
• 3 bay leaves
• sea salt and cracked black pepper
• 1 large eggplant, trimmed and cut into 1cm-thick slices
• 1 1/2 cup greek yoghurt
• 1 egg
• 1 egg yolk
• 150 grams greek-style feta cheese, crumbled
• 1/3 cup finely grated parmesan