Broiling the eggplant coaxes out a deeper, more complex flavor. We like to keep the antioxidant-packed skin on, but feel free to peel the eggplant before broiling. You can garnish the dish with extra basil leaves.
1. Heat a medium saucepan over medium-high heat. Add 1 tablespoon oil to pan; swirl to coat. Add onion; cook 6 minutes or until onion is tender. Add garlic; cook 1 minute. Add 1 cup water, quinoa, tomato paste, salt, pepper, and tomatoes. Bring to a boil; reduce heat, and simmer 20 minutes. Remove from heat; stir in basil.
2. Preheat broiler to high.
3. Place half of eggplant slices on a foil-lined baking sheet coated with cooking spray; lightly coat both sides of eggplant slices with cooking spray. Broil 5 inches from heat for 5 minutes on each side or until browned. Repeat procedure with remaining eggplant. Set eggplant aside.
4. Reduce oven temperature to 350°.
5. Heat a large skillet over medium-high heat. Add remaining 1 tablespoon oil to pan; swirl to coat. Add mushrooms; cook 8 minutes. Add wine and soy sauce; simmer 4 minutes. Remove from heat; stir in dill.
6. Combine yogurt, feta cheese, eggs, and egg white in a bowl, stirring well with a whisk until smooth.
7. Spread half of the tomato sauce in bottom of a 13 x 9-inch glass or ceramic baking dish coated with cooking spray. Arrange half of eggplant slices over sauce. Spread mushroom mixture over eggplant; sprinkle with Parmesan cheese. Spoon remaining tomato sauce over cheese; top with remaining eggplant slices. Spoon yogurt mixture evenly over eggplant. Bake at 350° for 45 minutes or until topping is lightly browned.