Cut the bacon into small cubes. Peel, wash and finely dice carrots. Peel onion and garlic and also dice finely. Wash the rosemary, dab dry and chop the needles finely.
Heat the oil in a large frying pan. Fry the bacon in it. Add mince and fry until crumbly. Add onion, garlic, carrots and rosemary and stir-fry for 2-3 minutes. Stir in tomato paste and sauté briefly.
Add the tomatoes and juice, bring to the boil and simmer at low heat for about 20 minutes while stirring.
Put the noodles in 2-3 l boiling salted water (approx. 1 teaspoon salt per litre) and cook according to the instructions on the packet. Grate pecorino finely. 3⁄4 Whisk pecorino and eggs. Season with salt and pepper. Drain the pasta and let it drain.
Season the minced sauce with salt, pepper and 1 pinch of sugar. Mix noodles and minced sauce and let cool for 5 minutes.
Preheat oven (electric cooker: 200 °C/circulating air: 175 °C/gas: see manufacturer). Grease a springform pan (26 cm Ø) and wrap with aluminium foil (see below). Mix the minced noodle mixture and the whisked eggs.
Pour into the mould, sprinkle with the rest of the pecorino and bake in a hot oven for 30-35 minutes. Allow to cool briefly, then carefully remove from the mould.