Preheat your oven to 350°F (175°C).

In a large mixing bowl, combine the shredded rotisserie chicken, softened cream cheese, buffalo sauce, ranch dressing, half of the sharp cheddar cheese, and half of the mozzarella cheese. Mix until creamy and well-combined.

Spread the creamy chicken mixture into a baking dish, ensuring even distribution.

Sprinkle the remaining sharp cheddar and mozzarella cheese evenly over the top of the mixture.

Bake for about 20 minutes until the cheese is bubbly and lightly golden brown.

Remove from the oven, let cool slightly, then garnish with chopped green onions. Serve hot with tortilla chips or celery sticks.