Preheat the oven broiler. Line a baking sheet with foil.
Whisk together the wine, tomato paste, thyme and 2 cups water in a large pot and slowly bring to a simmer over medium-high heat. Scatter the beef, carrots, garlic and onion on the prepared baking sheet. Season with 1 teaspoon salt and a few grinds of pepper. Broil until both the beef and vegetables are charred and deeply golden, 8 to 10 minutes.
Once the liquid is simmering, gently add the charred beef and vegetables and any liquid from the baking sheet to the pot. Add 1/2 teaspoon salt and a few grinds of pepper. Bring to a low simmer, cover and cook, stirring occasionally, for 1 hour and 30 minutes.
Uncover and continue to simmer until the beef is very tender and can be easily shredded with a fork, about 1 hour more. Add the butter and stir until melted and the sauce is glossy. Spoon the sauce over warm, cooked rigatoni in a serving platter. Sprinkle generously with Parmesan and parsley.
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