Cook the noodles in a pot of boiling salted water according to the package directions.
8 ounces egg noodles
Heat the olive oil in a large cast iron pot or deep skillet over medium high heat. Add the sausage and cook, stirring occasionally, until golden brown, about 5 minutes. Remove it and set aside.
1 tablespoon olive oil, 10 ounces smoked sausage
Add the ground beef to the same pot and cook, breaking it up with a spoon, until browned and cooked through. Return the sausage to the pot.
1 pound lean ground beef
Lower the heat to medium and add the onion, red bell pepper, and yellow bell pepper. Cook for about 5 minutes, stirring occasionally, until the vegetables start to soften.
½ large yellow onion, 1 medium red bell pepper, 1 medium yellow bell pepper
Add the garlic, tomato paste, Cajun seasoning, and smoked paprika. Cook for about 1 minute, stirring constantly, until fragrant and well combined.
3 cloves garlic, 2 tablespoons tomato paste, 2 tablespoons Cajun seasoning, ¼ teaspoon smoked paprika
Add the cabbage and stir until it is evenly coated in the seasonings. Pour in the chicken broth, stir, cover, and bring to a gentle simmer.
1 small green cabbage head, 1 cup chicken broth
Lower the heat to medium low and cook, covered, for 20 to 25 minutes, stirring occasionally, until the cabbage is tender. Stir in the cooked noodles.
8 ounces egg noodles
Stir in the apple cider vinegar and salt. Taste and adjust the seasoning if needed, then garnish with sliced green onions before serving.
2 tablespoons apple cider vinegar, ¾ teaspoon kosher salt, green onions