Toss shrimp with seafood seasoning until evenly coated.
Heat 2 tablespoons vegetable oil in a large skillet over medium-high heat. Cook shrimp 2–3 minutes per side, until opaque and curled into a C-shape. Remove shrimp from skillet and set aside.
In the same skillet, add remaining 1 tablespoon vegetable oil. Introduce ground beef and beef sausage. Sauté, breaking up with a spoon, until meats begin to brown.
Add onions, bell peppers, and minced garlic to the browning meats. Cook until vegetables are softened and meats are fully browned.
Sprinkle oregano, thyme, garlic powder, onion powder, chili powder, pepper, salt, and cayenne over the mixture. Stir in flour to combine and coat evenly.
Pour in chicken broth, scraping up any browned bits. Bring to a gentle simmer and cook for 5–7 minutes, allowing flavors to meld and sauce to thicken slightly.
Fold in cooked rice, mixing thoroughly. Continue to simmer for an additional 5 minutes until the rice is heated through and fully coated.
Return seared shrimp to the skillet, gently incorporating with the rice mixture. Adjust seasoning as needed and serve hot.