Cook the rice. Rinse the jasmine rice until the water runs mostly clear. Add it to a rice cooker with the beef broth and start the cooker. Let it sit covered for 10 minutes after it finishes, then fluff.
Brown the sausage. Cook the turkey sausage in a large skillet over medium heat, breaking it into crumbles, until browned and cooked through.
Sauté the onion. Add the chopped onion and cook until soft and translucent, about 5 minutes.
Add the cabbage and tomatoes. Stir in the cabbage, the diced tomatoes with their juice, paprika, Worcestershire sauce, salt, and pepper.
Simmer. Cover and cook over medium-low heat for 15 to 20 minutes, stirring occasionally, until the cabbage is tender and the sauce has thickened slightly.
Serve. Spoon the skillet mixture over the jasmine rice.