In a large bowl, beat your eggs and sugar thoroughly until the mixture looks nice, light, and fluffy. Gradually stir in your cooled, melted shortening (or butter/margarine if that's what you have) along with your favorite extract—vanilla works beautifully, or you can go traditional with anise.
Sift your flour, baking powder, and a pinch of salt together in a separate small bowl. Gradually fold this into your wet egg mixture until just combined. Don't worry when the dough turns out heavy, thick, and sticky—that is exactly what you want.
Preheat your pizzelle iron. Use a pastry brush or a simple folded paper towel to lightly coat both the top and bottom grids with a bit of vegetable oil or shortening so your cookies release effortlessly.
Drop about a rounded tablespoon of the thick batter right onto the center of each patterned grid on your heated iron. Gently close the lid securely and latch it shut.
Cook for about 30 to 45 seconds. A great trick is to simply watch the steam, once it stops pouring out and the cookies turn a beautiful light golden brown, they are ready.
Carefully remove the hot pizzelles with a fork or thin spatula. Lay them flat on a wire cooling rack in a single layer so they crisp up completely into delicate, satisfying treats. This straightforward batch makes about 3 dozen cookies.