Grilled Eggplant Parm

Name: Grilled Eggplant Parm
Ingredients: 1/3 cup plus 1 tablespoon extra-virgin olive oil; 1 clove garlic, finely chopped; 1/4 teaspoon red pepper flakes; One 15-ounce can crushed tomatoes; 2 tablespoons pitted Kalamata olives, chopped; 1 sprig basil, plus 1/4 cup thinly sliced leaves, for garnish; 2 tablespoons unsalted butter; Kosher salt and freshly ground black pepper; 1 large eggplant, cut into 1/4-inch rounds; 12 ounces fresh mozzarella, sliced 1/4-inch thick; 1/4 cup grated Parmesan