Guineitos con Mollejas en Escabeche (Marinated Green Bananas with Chicken Gizzards)

Name: Guineitos con Mollejas en Escabeche (Marinated Green Bananas with Chicken Gizzards)
Prep time: 1 h
Cook time: 1 h 27 min
Total time: 2 h 27 min
Cuisine: American, Mexican, Latin American
Ingredients: 1 1/2 pounds (680 grams) chicken gizzards (trimmed (see post), cut into 1/2-inch pieces, and rinsed); 1 tablespoon (15 grams) kosher salt; 8 cups (2 liters) cold water (for cooking the mollejas); 6 green cooking bananas (peeled and sliced covered with 2 cups (500 milliliters) of cold water ); 1 cup (250 milliliters) extra virgin olive oil; 1 large (2 cups) red onion (thinly sliced); 1/2 tablespoon (8 grams) kosher salt (plus more to taste); 1/3 cup (89 grams) sofrito; 5 cloves (1/4 cup) garlic (thinly sliced); 1/2 cup (125 milliliters) white wine vinegar; 1/4 cup (63 milliliters) lime juice ((from 2 medium limes)); 1 small (1 cup) red bell pepper (sliced); 1/4 cup (45 grams) manzanilla olives; 1 tablespoon (8 grams) capers; 2 large bay leaves; 1 teaspoon black peppercorns; 1 teaspoon whole allspice berries; 1 1/2 teaspoons dried oregano leaves; steamed white rice; ripe avocado slices