Pat the flank steak and chicken breast dry with a paper towel and season both sides with sea salt and black pepper.
Heat the extra virgin olive oil in a large cast-iron skillet over medium-high heat until shimmering.
Place the chicken breast in the skillet and cook for 5 to 7 minutes per side until the internal temperature reaches 165 degrees Fahrenheit.
Add the flank steak to the skillet and sear for 3 to 4 minutes per side for a medium-rare finish, then remove all meat and let rest for 5 minutes.
While the meat rests, dice the mango and avocado into small cubes and halve the cherry tomatoes.
In a small bowl, combine the mango, avocado, tomatoes, pomegranate seeds, and lime juice, tossing gently to incorporate.
Chop the romaine lettuce and arrange it as a base on a large plate or bowl.
Slice the rested steak and chicken against the grain into thin strips and arrange them over the lettuce.
Top the dish with the fresh mango salsa and serve immediately while the proteins are still warm.