Heat 2 Tbs. oil in a 12-inch ovenproof skillet over medium-high heat. Saute onions until tender, about 5 minutes. Add garlic, cinnamon and cloves; cook about 1 minute. Add meat, stirring to break it up, and cook about 5 minutes. Stir in tomatoes and raisins; simmer 10 minutes.
Arrange eggplant slices on a lipped cookie sheet. Brush both sides with remaining oil, and season with salt and pepper. Broil on upper oven rack, turning once with kitchen tongs, until golden brown, about 5 minutes per side.
Reduce heat to 400 degrees. Lay eggplant in a single layer over meat mixture. Whisk egg into mashed potatoes; spread over eggplant. Bake on lower rack until sauce is bubbly, about 20 minutes.
