To make sofrito: Place the onion, bell pepper, parsley, cilantro, culantro, garlic, and water into a blender. Cover, and puree until smooth. Pour mixture into a bowl; cover and refrigerate until ready to use.
Heat a large skillet over medium-high heat and stir in the ground beef. Cook and stir until the beef is crumbly, evenly browned, and no longer pink. Stir in 2 tablespoons of sofrito into the beef, then season with sazon, pepper, and adobo. Drain and discard any excess grease; set aside.
Preheat an oven to 350 degrees F (175 degrees C).
Heat a skillet over medium heat. Arrange the plantains in the skillet and pan fry until golden and softened, 3 to 5 minutes. Remove from heat. Layer half of the plantains in a deep baking dish, making sure to cover the entire bottom of the dish. Pour 4 beaten eggs over the plantains, then spread the beef on top. Layer the green beans over the beef, then arrange the remaining plantains on top. Pour 4 more beaten eggs evenly over the plantains. Sprinkle the top with adobo seasoning.
Bake in the preheated oven until the eggs are firm, 30 to 45 minutes.