Place matzo crackers in a single layer on a baking sheet; bake at 375 for 5 minutes or until lightly browned. Break crackers into small pieces, and place in a large bowl.
Pour chicken broth and water over matzo; let stand 10 minutes, stirring occasionally.
Heat oil in a large nonstick skillet over medium heat.
Add onion; cover and cook 5 minutes, stirring occasionally.
Add carrot and next 6 ingredients (carrot through mushrooms) to pan; cover and cook 5 minutes or until onion is tender.
Add mushroom mixture and 2 tablespoons parsley to matzo mixture, stirring well.
Combine egg whites and eggs in a bowl; stir with a whisk.
Add egg mixture to matzo mixture; stir well.
Press matzo mixture into a 10-inch deep-dish pie plate coated with cooking spray.
Bake, covered, at 375 for 20 minutes. Uncover and bake an additional 18 minutes or until lightly browned.
Let kugel stand for 5 minutes, and cut into wedges.