Toss the sliced pork with 1 tbsp soy sauce, the Shaoxing wine and the cornstarch. Let it sit while you prep everything else, at least 10 minutes.
Stir together the hoisin, 1 tbsp soy sauce, rice vinegar and sesame oil in a small bowl. This is your finishing sauce.
Heat 1 tbsp oil in a wok or large skillet over medium-high until it shimmers. Pour in the beaten eggs and let them set for a few seconds, then scramble into large soft curds. Scoop them out while still slightly wet and set aside.
Add the remaining 1 tbsp oil and turn the heat to high. Spread the pork in a single layer and leave it undisturbed for about 45 seconds to sear, then stir fry until it loses its pink, 2 to 3 minutes. Push it to the side.
Add the ginger, garlic and scallion whites and stir for 20 seconds until fragrant. Add the shiitake and cook 1 minute, then add the cabbage and carrot.
Stir fry on high heat for 2 to 3 minutes, just until the cabbage wilts but still has snap. Pour in the sauce, return the egg to the pan and toss everything together for another minute.
Kill the heat, fold in the scallion greens. Serve in bowls, or brush thin pancakes or warm flour tortillas with a little extra hoisin and wrap it up.