Preheat oven to 425°F. Line two baking sheets with parchment paper and set aside.
In a large bowl, mix together the cream cheese, chicken, buffalo sauce, a large pinch of salt and pepper, granulated onion, granulated onion, scallions, 1 cup of Cheddar and 1 cup of mozzarella until well combined.
Cut and shape each puff pastry square into a "Danish Kite" shape and place on the prepared baking sheets. Brush each liberally with egg wash and then top with a heaping 1/4 to 1/3 cup of the filling. Spread it out evenly in the center.
Top with remaining cheddar and mozzarella cheese. Bake until deep golden brown and bubbly on top, about 20 to 25 minutes. Carefully remove from the oven and allow to cool slightly before serving. Top with sliced celery, carrot, scallions and ranch. Enjoy!