Preheat oven to 375 degrees F and grease a 9x13 inch baking dish
Cook ground pork in a skillet over medium-high heat, breaking it up until no longer pink
Add garlic and ginger, cook for 60 seconds until fragrant
Add shredded napa cabbage and cook for 3 to 4 minutes until softened
Stir in soy sauce, sesame oil, rice vinegar, and white pepper, then remove from heat and fold in green onions
Whisk together broth, hoisin sauce, soy sauce, chili garlic sauce, and sesame oil in a bowl to make the sauce
Spread a thin layer of sauce on the bottom of the baking dish
Layer dumpling wrappers across the bottom, overlapping slightly
Add a layer of pork filling, dot with ricotta, drizzle with sauce, then add another wrapper layer
Repeat layers 3 to 4 times, finishing with wrappers on top
Pour remaining sauce over the top layer of wrappers
Scatter mozzarella and parmesan over the entire surface
Cover with foil and bake for 25 minutes, then uncover and bake for 10 more minutes until cheese is golden and bubbling
Rest for 10 minutes before slicing and serving