Remove the skin, finely crumble the sausage with your hands, and set aside.
Remove the skin, finely chop the onion, and set aside.
In a pot, gently melt the butter in the olive oil, add the onion and a pinch of salt, and sauté on a medium stove and low flame for 8 minutes.
Add the sausage and sauté on low flame for about 10 minutes, stirring occasionally. Use the wooden spoon to make the sausage pieces even smaller; its grain should be fine.
Turn up the stove flame, add the wine, and let it evaporate for a few minutes while stirring.
Then turn the heat down, add milk, tomato paste, and stir.
Cover the pan with a lid, not completely, and cook slowly and long, about an hour and a half, stirring occasionally and adding broth during cooking. The sauce has to be reduced but not dry.
Taste, adjusting the salt if needed.