Season the chicken with salt and pepper. In a heavy pot, heat the oil until shimmering. Add the chicken, skin side down, and cook over moderately high heat until browned on the bottom, 5 minutes; turn over and cook until browned on the second side, 4 minutes. Transfer to a plate and discard the skin.

In the same pan, brown the sausages over moderately high heat, 5 minutes. Transfer to the plate with the chicken.

Pour off all but 1 tablespoon of the fat from the pot. Add the celery, bell pepper, and onion and cook over moderate heat until lightly browned, 10 minutes. Add the garlic and cook for 1 minute. Stir in the flour and the tomato paste and cook, stirring, until the flour smells nutty, 5 minutes. Add the broth and tomatoes; bring to a simmer. Add the chicken and sausages to the pot. Cover and simmer over low heat until the chicken is cooked through.

Transfer the chicken and sausages to a cutting board. Shred the chicken into bite-size pieces. Slice the sausages into 1/2-inch-thick rounds. Return both to the pot and stir in the scallions and rice. Simmer until heated through, 1 minute. Season with salt and pepper and serve with Tabasco.