Chop Vegetables: Chop the onion, celery (removing leaves), and carrots.
Sauté Vegetables: Heat olive oil in a large pot, add chopped vegetables, and sauté on high heat for 5-6 minutes.
Add Tomato Paste: Add tomato paste to the pot and slightly caramelize it.
Deglaze with Wine: Pour in red wine to deglaze the pot and let the alcohol evaporate.
Add Ribs: Add the pork ribs to the pot, season with salt, and brown for 3-4 minutes.
Add Tomato Passata: Add tomato passata and a little water, cover with a lid ajar, and simmer on low heat for about 3 hours.
Debone Ribs: Once cooked, let the ribs cool, then debone them.
Cook Orecchiette: Cook orecchiette pasta according to package instructions.
Combine and Plate: Drain the orecchiette, add to the sauce, mix with a ladle of cooking water, and plate. Top with grated cheese.