Cook sausages in 1 tablespoon butter over medium heat in a large saucepan until lightly browned, about 3 minutes per side. Set aside.
Add 1 tablespoon butter and onion and cook over medium heat until tender.
Stir in cabbage, broth, and garlic. Cook uncovered until cabbage is tender, about 10 to 15 minutes.
Add the sausage back to the pan and cook 2 to 3 minutes or until heated through. Season as desired.
Notes
How To Prep Cabbage:
Remove wilted or damaged outer leaves.
Slicing through the stem, cut cabbage into four or eight pieces then remove the hard inner core.
Chop or cut into smaller pieces with a sharp knife.
Refrigerate leftovers in a covered container for up to 4 days and freeze portions in zippered bags for up to 4 weeks. Reheat on the stovetop, covered with foil in the oven, or quickly in the microwave.