Heat the olive oil in a large heavy-bottomed pot over medium-high heat.
Add the diced pork and chicken breast to the pot, searing until golden brown on all sides to lock in the juices.
Stir in the minced garlic, sliced carrots, shredded white cabbage, and shredded red cabbage, sautéing for about 3 minutes until the vegetables begin to soften.
Pour in the chicken bone broth and season with dried thyme, sea salt, and black pepper.
Bring the mixture to a gentle boil, then reduce the heat to low and cover with a lid.
Simmer the stew for 15 minutes to allow the meats to become tender and the flavors to meld.
Add the rinsed cannellini beans to the pot and continue to simmer uncovered for another 5 minutes.
Turn off the heat and fold in the chopped romaine lettuce just before serving so it wilts slightly while maintaining a fresh bite.