Preheat the oven to 325° F.
Heat 1 tablespoon of olive oil over medium-high heat in a large oven-proof skillet or braising pan with a lid.
Season the ribs generously with salt and pepper.
Place the ribs into the hot skillet and sear until brown on all sides.
Remove the ribs to a plate and set them aside.
To the skillet add the diced onion, carrots, garlic, and thyme. Cook until the vegetables are tender - about 4 minutes. Add the red wine and deglaze the pan by scraping up all the brown bits. Cook for 1-2 minutes.
Add the crushed tomatoes, tomato paste, a pinch of sugar, and 1/2 cup beef broth to the skillet. Stir and simmer for a few minutes until combined. Add the ribs back to the pan and bake, covered in a 325° F oven for 2 hours.
Add the orzo and 2 cups of broth to the skillet and stir. Place the braising pan back into the oven for another hour.
Alternatively, you can cook the ribs for 4 to 5 hours at 275° F. for even more tender ribs. Increase the heat to 325 or 350 when you add the orzo.
Top with chopped parsley and serve with grated parmesan and feta cheese.