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 10-15 minutes.
Add the sausage back to the pan and cook 2-3 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.