In a dutch oven, combine the pork ribs, rump roast, and water (add more if needed to cover the meat). Sprinkle evenly with 2 tablespoons salt. Bring to a boil over high, then throw in the onion, garlic, ginger, bay leaves, and fresh oregano sprigs. Reduce heat to medium low and simmer, uncovered, for 1 hour and 30 minutes.
Using a slotted spoon or kitchen tongs, remove the onion, garlic and ginger and set aside in a separate bowl. Remove the bay leaves and oregano sprigs and discard (don't worry if some or most of the leaves remain in the stew, this is ok.) Add in the 'riced' cabbage and almond flour, stir to combine. Simmer, uncovered, over medium low for another 1 hour and 30 minutes.
While the stew is simmering, split the ancho and guajillo chiles; remove the stems and seeds. Place the chiles in a large pot that has been heated over medium heat. Toast the chiles, tossing occasionally, until they begin so smoke slightly and turn dark, about 2 minutes. Carefully add water to cover the chiles, stir to moisten, and bring to a gentle simmer. Cook until the chiles are soft, about 15 minutes. Using kitchen tongs, remove the chiles from the liquid and set them aside. Allow the chile liquid to cool slightly, then taste it. If it is spicy but tastes ever so slightly like raisins, keep it. If it is bitter, toss it.
Transfer the softened chiles and 1/2 cup cooking liquid from the chilis (or water if bitter), to a blender. Add the reserved onion, garlic, and ginger plus a ladle-full of broth from the meat pot to the blender. Process until smooth, adding more liquid if needed to get a texture that resembles apple sauce. Pour through a wire-mesh strainer into a bowl, stirring and pressing with a rubber spatula if needed, and then discard the solids.
In a small pot, heat the sunflower oil over medium. Carefully add the strained chili mixture to the hot oil and stir to combine. Cover partially and cook until reduced by half while stirring occasionally, about 15-20 minutes. The color will deepen into a deep reddish brown. Remove from heat and set aside.
When the meat mixture has finished simmering, the pork rib meat should have pretty much fallen off the bones. Take out the bones and discard them. Using a large spoon, break up the pork and beef until it resembles pulled meat. Be on the lookout for any smaller bones that you may have missed and remove them. Stir in the chili sauce and bring to a simmer over medium-low. Cook for another hour, uncovered, stirring occasionally until mixture boils down to a thick stew.
To serve: Add lettuce to the bottom of six shallow soup bowls. Ladle one big scoop of stew over the lettuce. Rub dried oregano leaves between the palms of your hands to release the flavors, then sprinkle evenly over the stew.
Garnish with avocado slices, Cotija cheese, radishes, and lime zest.