Magic? Camera tricks? Did someone build an egg inside the bottle with tweezers as if it were a ship? Nope.
This is way easier.
As simple as a vacuum.
The matches in the bottle burn up the oxygen. This creates a negative pressure environment, or vacuum. Voilà! The egg is sucked through the neck of the glass bottle.
This is just one of the uses of the principal. It's the same reaction as you see when you cover a bowl in the microwave or shrink wrap a package.