Cola-Braised Short Ribs

• 4 pounds beef short ribs (about 8 to 10 short ribs)
• 2 teaspoons kosher salt, plus more to taste
• 1 teaspoon black pepper
• 3 tablespoons olive oil
• 1 medium (10 ounce) yellow onion, chopped (about 2 cups)
• 4 medium (10 ounces total) carrots, peeled and chopped into 1/2-inch pieces (about 1 1/2 cups)
• 4 medium (4 ounces total) celery stalks, halved lengthwise and chopped crosswise into 1/2-inch pieces (about 1 1/2 cups)
• 6 medium garlic cloves, finely chopped (2 tablespoons)
• 2 tablespoons unsalted tomato paste
• 2 cups dry red wine
• 2 cups cola soft drink (such as Coke)
• 2 cups unsalted beef stock
• 8 (4-inch) thyme sprigs, plus more leaves for garnish
• 4 (6-inch) parsley sprigs
• 5 fresh bay leaves
• 2 tablespoons unsalted butter
• 2 teaspoons aged sherry vinegar

Parmigiano Risotto

• 8 cups vegetable broth (such as Zoup!)
• 8 tablespoons (4 ounces) unsalted butter, cut into 1-inch pieces and refrigerated, divided
• 2 medium (3 ounces total) shallots, finely chopped (about 1/2 cup)
• 1 1/2 cups uncooked Arborio rice or carnaroli rice (about 10 1/4 ounces)
• 1/2 cup dry white wine
• 1/2 teaspoons kosher salt
• 4 ounces Parmigiano-Reggiano cheese, grated (about 1 cup)