01 - Preheat oven to 350°F. Grease a 9x13 inch baking dish with butter.
02 - Heat sesame oil in a skillet over medium heat. Cook onion, garlic, ginger, and carrot for 3-4 minutes until fragrant and softened.
03 - Add chopped shrimp and cook 2-3 minutes until just pink. Stir in cabbage, soy sauce, oyster sauce, rice vinegar, salt, and white pepper. Cook 2 more minutes. Remove from heat and cool slightly.
04 - Combine ricotta, egg, half the mozzarella, half the parmesan, and scallions in a bowl. Mix until smooth.
05 - Place 8 dumpling wrappers on the bottom of the dish, slightly overlapping if needed. Spread half the shrimp mixture evenly over wrappers, then top with half the ricotta mixture.
06 - Add another 8 dumpling wrappers. Layer with remaining shrimp filling, then remaining ricotta mixture.
07 - Place final 8 dumpling wrappers on top. Pour broth evenly over all layers. Sprinkle with remaining mozzarella and parmesan cheese.
08 - Cover dish tightly with aluminum foil. Bake for 30 minutes.
09 - Remove foil and bake another 15-20 minutes until top is golden brown and bubbling.
10 - Let the lasagna rest for 10 minutes before slicing and serving to allow layers to set.