Heat (1 tablespoon) bacon grease or vegetable oil, over medium heat, in a large Dutch oven. Add sliced sausage (1 1/2 pounds) and brown on all sides. Using a slotted spoon, transfer the browned sausage to a paper towel-lined plate. If there aren't 2 tablespoons of oil and drippings in the Dutch oven, add enough vegetable oil to make up the difference.
Add onion (1 1/2 cups), celery (3 stalks), and carrot to the dripping in the Dutch oven. Sauté, stirring occasionally, until veggies are soft and onion is translucent, about 7-9 minutes.
Stir in garlic (1 tablespoon) and tomato paste (2 tablespoons) and continue to cook, stirring constantly, for 1 minute.
Stir in Tabasco (1 teaspoon), bay leaf (1), Cajun seasoning (1 teaspoon), paprika (1 teaspoon), garlic powder (1/2 teaspoon), and sugar (1/8 teaspoon).
Add low-sodium chicken broth (6 cups), dissolved Better Than Bouillon (1 heaping tablespoon), and water (1 cup), Rotel (1 can), white beans (2 cans), and black-eyed peas (12 ounces). Bring to a boil. Immediately reduce heat and simmer for 10 minutes.
Stir in thawed turnip greens (1 pound) and uncooked pasta (1 cup). Adjust heat to achieve a moderate simmer. Cook until pasta is al dente. Adjust the seasoning, if the soup is thicker than you like, thin it with more chicken broth, ladle it into individual bowls, sprinkle it with fresh parsley, and serve.