Serves 4 with leftovers
| 2 | large onions, sliced |
| 1 | teaspoon caraway seed |
| ¼ | teaspoon black peppercorns |
| 1 | tablespoon brown mustard |
| 2 | bay leaves |
| 12 | precooked bratwurst |
| 4 | bottles (12 ounces each) German-style beer |
| 1 | tablespoon vegetable oil |
| 1 | large head red cabbage, quartered, cored, and thinly sliced |
| 1 | cup apple cider |
| 2 | Granny Smith or other tart baking apples, peeled and cut into ½-inch dice |
| 2 | tablespoons brown sugar |
| 6 | tablespoons apple cider vinegar |
| Salt and pepper, to taste | |
| 4 | crusty rolls, split in half |
| Extra brown mustard (for serving) | |
| 1 | cup cornichons or other pickles (for serving) |
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