Line an 8x8 baking dish with parchment paper, leaving an overhang on the sides for easy removal. Set aside.
In a medium bowl, combine cream cheese, mozzarella, green onions, Worcestershire sauce, soy sauce, minced garlic, and granulated sugar. Mix thoroughly until all ingredients are well incorporated. Gently fold in the drained crab meat.
Transfer the crab mixture to the prepared baking dish, spreading it into an even layer. Freeze for about 30 minutes, or until solid.
Meanwhile, set out three shallow bowls and a baking sheet lined with parchment paper. (The baking sheet should fit into your freezer.) In the first bowl, combine flour and kosher salt. In the second bowl, add beaten eggs. In the third bowl, place breadcrumbs.
When ready, remove the crab mixture from the freezer. Lift the frozen mixture out of the baking dish using the parchment paper overhang. Using a sharp knife, cut the mixture into two sections, each measuring 8x4 inches. Then, cut each section into 8 separate rectangles, creating a total of 16 sticks.
Working one at a time, coat each crab rangoon mozzarella stick. Dip it into the flour mixture, ensuring all sides are covered. Then, roll it in the beaten eggs, followed by rolling it in the breadcrumbs. Repeat the egg and breadcrumb coating once more for a double coat. Place the coated stick on the parchment-lined sheet. Repeat with the remaining sticks.
Freeze the coated sticks for at least 30 minutes, up to an hour.
When ready, preheat the air fryer to 390°F for 5 minutes.*
Lightly spray the crab rangoon mozzarella sticks with cooking spray. Place them in the basket of an air fryer, leaving some space between each stick. (Depending on the size of your air fryer, you may have to work in batches.)
Air fry for 4-6 minutes, or until the sticks are golden brown.
Remove from the air fryer and let cool for 1-2 minutes. Serve with Thai sweet chili sauce and/or sweet and sour sauce for dipping.