Prepare the Beef: Season and sear short ribs or chuck roast, then set aside.
Cook Tomato Paste: In the same pan, cook off the tomato paste to deepen its flavor.
Build the Sauce: In a Dutch oven, sauté carrots, onion, and celery in olive oil and butter. Add cooked tomato paste, red wine, red wine vinegar, crushed tomatoes, and beef stock.
Add Beef to Sauce: Add the seared beef and fresh thyme to the sauce. Bring to a simmer and cook until the beef is tender.
Shred the Beef: Once cooked, shred the beef and return it to the sauce.
Cook the Pasta: Cook pappardelle pasta according to package instructions.
Combine Pasta and Ragu: Toss the cooked pasta with the beef ragu.
Serve: Serve garnished with Parmesan cheese and parsley.