Heat the butter and a drizzle of olive oil in a Dutch oven over medium to medium-high heat. Add the thinly sliced onions with a small pinch of salt.
Cook the onions, stirring frequently so they don't burn, until softened and golden with good color — about 15 to 20 minutes.
Stir in the minced garlic and brown sugar and cook for 1 minute. (In the video she deglazes here with a splash of wine or sherry; you can use it or skip it.)
Pour in the beef stock and heavy cream, add the garlic and herb seasoning and the thyme sprigs. Bring to a boil, then simmer for about 5 minutes.
Add the pasta and cook until al dente, stirring now and then so nothing sticks.
Taste and adjust the salt. Stir in a generous handful of freshly grated parmesan and lots of black pepper.
Cook 2 more minutes, then turn off the heat. Cover with the lid and let it sit 5 to 10 minutes so the pasta absorbs the sauce and it turns creamy.
Stir in more parmesan and the chopped parsley. Serve hot with extra cheese on the table.