Lightly season chicken with pepper. Heat a large pot over high heat until hot. Add olive oil to pot and swirl to coat bottom. Add the chicken pieces, (skin side down if using bone-in.) Brown about 5 to 6 minutes, stirring occasionally or turning whole pieces after 4 minutes.
Add Old Havana Foods Sofrito to pot, stir well to coat chicken with sofrito. Reduce heat to medium-low and simmer 5 minutes, stirring occasionally.
Add 1½ cups chicken broth, 8 ounces beer (or additional chicken broth) lime juice, liquid from peas, rice (and saffron if using) to stockpot. Stir well to combine and bring to a simmer. Reduce heat to lowest setting; cover and simmer 20 minutes, stirring every 5 minutes.
During last five minutes of cooking add shrimp and sausage.
Turn off heat. Add remaining 4 ounces of beer (or chicken stock) and drained peas. Stir well to combine, cover and let stand 8 to 10 minutes.Add salt and pepper to taste. If large, cut bone-in chicken pieces in half.