Fill a saucepan with water & bring it to a boil.
Add the paste and boil for about 6 - 7 min. The conchiglioni shall become soft, but stay undercooked.
Drain the pasta. Set aside.
Put all the ingredients for the source in a frying pan & bring to a boil. Stir & crush the tomatoes. It will take about 5 - 10 min. Pout the sauce in a bowl. Set aside.
Use the frying pan & start frying the onion, the anchovies and the carrot in some olive oil for about 5 - 10 min. The vegetables shall get soft.
Add the minced meat & fry until well done (about another 10 min). Mix well with the vegetables.
Add the rest of the ingredients of the filling & mix well.
Put the filling in a bowl. Set aside.
Preheat the oven to 175° C fan.
Fill about half of the sauce in the casserole.
Add the filling to each of the conchiglioni and set into the casserole. (It will take some time ... don't underestimate the task!)
Cover the pasta with the rest of the sauce.
Sprinkle grated parmesan all over the top. Finish with the grated emmentaler.
The casserole marches in the preheated oven. You'll need about 20 - 25 min.
Serve at once.