In a medium bowl add the cheddar cheese, flour, salt, garlic powder, sugar, celery salt and cayenne. Toss to coat the shredded cheese.
Add the cream cheese cubes and working with your hands, blend all ingredients to form a dough that holds together.
Shape dough into a log roughly 12 inches long and wrap in plastic wrap. Freeze for 15 minutes. Preheat oven to 350°F.
Remove from plastic wrap and sprinkle sesame seeds on all sides, pressing to adhere.
Carefully slice into 1/8" to 1/4" rounds and place on a parchment or silpat lined baking sheet.
Bake for 20 minutes or until golden brown and crisp. Allow to come to room temperature before serving or storing in an airtight container for up to 7 days.