Preheat the oven: preheat the oven to 180°C / 350-375°F / Gas Mark 4-5.
Eggs: crack the eggs into a small bowl and then use a fork to whisk. Once done, set aside.
Pastry: working one sheet at a time lay a piece of the puff pastry onto a clean dry chopping board and use a pizza wheel to cut it into 10 long thin strips. Repeat for the 2nd sheet of pastry.
Baking tray: working one strip at a time use 2 hands and twist the pastry so that curves form along the length. Place the twisted pastry onto a baking paper lined chopping board and fold the edges at each end over. Then repeat for the other strips.
Egg wash: use a basting brush to brush the full length of each twisted pastry strip with the whisked egg.
Cheese: sprinkle the cheese over the top of the whisked egg and repeat for each twist.
Everything bagel seasoning: sprinkle the bagel seasoning over the cheese layer for all of half of the cheese twists.
Oven bake: place the 2 baking trays into the oven and bake the cheese twists for 10 to 12 minutes rotating the position of the trays around the halfway point. Once the cook time is up (cheese straws should be puffed and golden) use oven mitts to remove the baking trays from the oven and place them onto a heatproof surface. Let them cool for a couple of minutes and then use a silicon turner to transfer each to a wire rack.
To serve: the pastry twists are ready to serve straight from the oven, fresh and hot!