Charlie, you can buy non cooking lasagna in a package. It is recommend by ATK to soak them first in hot water to soften them. Barilla makes a kosher one, but it is not as wide as other brands. It has a circled "U" on the package. Yet it is wider than the ones you have to completely cook first. There are other brands that make non cooking lasagna sheets, but I don't know if they are kosher.
I think the sheets you saw Fabio use, were probably fresh made by him. But you have to remember that equipmet in a professional kitchen is designed to handle and make food in larger amounts. It would be too time consuming for a pro chef to make pasta with a maching designed to be used in a home.