Bring a large pot of water to a boil. Cut off the bottom stem of the head of cabbage and carefully submerge it in the boiling water for 5 minutes.
Remove the cabbage and let it drain.
In a skillet over medium-high heat, cook the ground beef along with onion, parsley, oregano, garlic, salt, and pepper until the meat is browned and fully cooked.
Drain any excess fat.
Mix Everything Together
Stir in the cooked rice, ¼ cup of the reserved sauce, beaten egg, and fresh dill into the beef mixture.
Carefully remove 12 outer leaves from the cabbage head. Cut a V-shape at the base of each leaf to remove the tough stalk.
Roll the Cabbage Rolls
Lay a cabbage leaf flat on a clean surface. Place about ¼ cup of the filling in the top third of the leaf.
Fold over the top, tuck in the sides, and roll tightly to encase the filling. Place the roll seam-side down in a baking dish.
Bake the Cabbage Rolls
Repeat until all the leaves and filling are used. Spoon the remaining sauce mixture over the cabbage rolls.
Cover the dish with foil and bake at 350°F for 1 hour 15 minutes.
Remove the foil and let the rolls rest for 10-15 minutes before serving.
Notes
You can prepare these rolls in advance and store them in the fridge.
They also freeze well for up to three months.
Consider serving your cabbage rolls with a side of crusty bread or a light salad.