Preheat oven to 350 degrees F and line a baking sheet with parchment paper or aluminum foil with cooking spray.
Using a hand mixer, mix your egg whites and cream of tartar on high for a few minutes until your egg whites form stiff peaks. (When you pull the whisk out, the mixture looks like mountain peaks where your whisk came out.)
Add your red food color and mix a few more seconds until uniform.
Line a large bowl or shallow dish with your cheese powder and spices.
Using a piping bag or Ziploc bag with a corner cut off, create long, red, Cheeto shaped egg whites onto your cheese mixture. The thinner your piping bag or hole in your Ziploc bag, the crispier these will be. If you like Cheeto Puffs, you can make them larger, but you'll want to watch closely to make sure the outside doesn't burn before they're fully cooked.
Once your Cheetos are in the cheese and spice mixture, spoon the mixture to fully coat each Cheeto. Place the finished Cheetos on your baking sheet. (If your Cheetos have trouble sticking together, your egg whites probably aren't stiff enough. You can continue mixing them and retry - or go straight to the baking sheet and spoon the cheese/spice mixture on top.)
Bake your finished Cheetos for 10-12 minutes. (I found that spraying a tiny bit of cooking spray on the top before going in the oven reduced any burning/scorching of the spices.)