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Step 1
Spread out breadcrumbs on a baking sheet and let sit uncovered at room temperature until dried out, about 12 hours.
Step 2
Combine breadcrumbs, Pecorino, parsley, red pepper flakes, paprika, 1 chopped garlic clove, and 2 Tbsp. oil in a medium bowl.
Step 3
Trim beef slices into 6x2” pieces; season with salt and pepper. Sprinkle each slice with about 2 Tbsp. breadcrumb mixture, roll up, and secure with a toothpick or twine; set braciole aside. Set remaining breadcrumb mixture aside.
Step 4
Heat remaining 2 Tbsp. oil in a large heavy pot over medium-high heat and cook sausage, turning occasionally, until browned on all sides, 5–8 minutes. Transfer to a large rimmed baking sheet.
Step 5
Season ribs with salt and pepper; cook in same pot until browned on all sides, 8–10 minutes. Transfer to baking sheet with sausage. Cook reserved braciole in pot, turning occasionally, until browned, 5–8 minutes; transfer to same baking sheet.
Step 6
Reduce heat to medium-low and cook onion, anchovy, and remaining garlic in pot, stirring occasionally, until onion is translucent, 8–10 minutes. Add tomato paste and cook, stirring often, until slightly darkened in color, 5–8 minutes.
Step 7
Add crushed and whole tomatoes, crushing whole tomatoes with your hands; season with salt and pepper. Bring to a boil, reduce heat, and simmer, stirring occasionally, until sauce has thickened, 1–1½ hours.
Step 8
Add sausage, ribs, braciole, and any accumulated juices on baking sheet to sauce. Cook, partially covered, stirring occasionally and skimming surface as needed, until meat is very tender (rib meat should be falling off the bone), 2½–3 hours. Season sauce with salt and pepper.
Step 9
Just before serving, cook pasta in a large pot of boiling salted water, stirring occasionally, until al dente; drain.
Step 10
Toss pasta in a large bowl with a little of the sauce and top with reserved breadcrumb mixture. Remove bones from ribs and remove toothpicks from braciole. Serve braciole, ribs, sausage, and remaining sauce with pasta alongside.
Step 11
DO AHEAD: Breadcrumbs can be dried out 5 days ahead; store airtight at room temperature. Sauce can be cooked 2 days ahead; cover and chill. Gently reheat sauce, covered, before cooking pasta.