Eggplant Mushroom Meatballs

Name: Eggplant-Mushroom “Meatballs”
Ingredients: 1 small eggplant, chopped (4½ cups); 8 ounces cremini mushrooms, trimmed and chopped (3 cups); 1 shallot, quartered; 1 clove garlic, smashed; 3 tablespoons olive oil, divided; 1 teaspoon kosher salt, divided; Freshly ground black pepper; ½ cup old-fashioned rolled oats; ¾ cup cooked brown rice, at room temperature; 3 tablespoons chopped fresh flat-leaf parsley leaves