Preheat oven to 375 degrees F (190 degrees C)
Season pork with 3 ½ teaspoons garlic powder, 2 ½ teaspoons ground ginger, and salt in a large bowl; mix until combined
Heat oil in a large skillet over medium-high heat
Add pork mixture and cook, stirring occasionally to crumble, until browned, about 5 minutes
Add 6 tablespoons soy sauce and 6 tablespoons rice vinegar; cook, stirring occasionally, until sauce is reduced to 2 tablespoons, about 3 minutes
Add cabbage, carrots, and scallions; cook, stirring often, until cabbage begins to wilt, about 1 minute
Remove from heat and set aside
Lightly grease a 9x13-inch baking dish with melted butter
Place about 5 sheets of phyllo in the bottom of the baking dish and brush with melted butter
Repeat layering twice, then place half of the pork mixture (2 cups) on top and spread evenly to the edges
Top with 5 more sheets of phyllo and coat lightly with butter
Repeat once more and top with remaining pork mixture (2 cups), spreading evenly over the top
Top with remaining phyllo (about 8 to 10 sheets) and pour over remaining melted butter
Use a knife to make 3 cuts lengthwise all the way down to the bottom of the pan
Make diagonal cuts about 1 to 1 ½ inches apart to create diamond shapes, cutting all the way through
Bake in preheated oven until puffed and golden brown, 30 to 35 minutes
Let stand for 10 minutes
Stir together apricot jam, water, chili powder, 2 tablespoons rice vinegar, 2 tablespoons soy sauce, ½ teaspoon garlic powder, and ½ teaspoon ground ginger
Drizzle half of the sauce over the casserole and serve with remaining sauce on the side
