Whisk together 2 tablespoons oil, vinegar, lemon juice, 2 cloves garlic, caraway seeds, salt, and pepper. Arrange vegetables in a baking dish and spoon mixture overtop. Cover with plastic wrap and let rest 30 to 60 minutes.
Preheat oven to 400 degrees F.
Coat a baking sheet with cooking spray. Lay vegetables in one layer on the pan and bake 30 to 40 minutes or until golden and soft.
Mix pasta with 1 tablespoon oil, parsley, and garlic. Form pasta into 8 small nests and spoon vegetables into nests.