Preheat oven to 350°F (180°C). Grate Parmesan and thinly slice green onions.
Combine Parmesan, onions, eggs, 5 tsp (25 mL) of the rub, pepper, milk, bread crumbs, and turkey; mix well.
Place one rounded Large Scoop of turkey mixture into wells of Brownie Pan and press evenly into wells. Bake 13-15 minutes or until tops are firm and internal temperature reaches 160°F (71°C) in the sides of each patty.
Meanwhile, grate mozzarella using Adjustable Coarse Grater.
For sauce, combine ketchup and remaining 1 tsp (5 mL) rub in (2-cup/500-mL) Prep Bowl. Microwave, uncovered, on HIGH 20-30 seconds or until hot.
Remove pan from oven. Transfer patties to roll bottoms. Top with sauce, mozzarella and roll tops.