Cook meat: Add ground beef, sausage and liver to a large saucepan over medium heat. Season with salt and pepper and cook, crumbling with a wooden spoon, until browned.

Add flour and stir. Add onion, bell pepper, and celery and sauté for 2 minutes. Add garlic, Cajun seasoning, cayenne, oregano, thyme and bay leaves and stir to combine.

Simmer: Add rice and chicken broth. Bring to a boil, cover, reduce heat to low and simmer for 20 minutes. Remove from heat all allow to rest for 5 minutes. Remove lid, gently fluff rice with a fork, reapply lid and rest for 5 more minutes.

Serve garnished with green onion and parsley.