In a large mixing bowl, sift together the cornstarch, all-purpose flour, sugar, and baking powder. Mixing the dry ingredients first ensures even distribution of the leavening agent and sugar.
Add the cold, cubed butter to the dry mixture. Using a pastry cutter, fork, or your fingertips, blend the butter into the flour mixture until it resembles a sandy, crumbly texture.
Once the mixture has a sandy consistency, add the egg yolks and vanilla extract. Gently knead just until the dough comes together, being careful not to overwork it.
Shape the dough into a disk, wrap it in plastic wrap, and refrigerate for at least 1 hour. Chilling will firm the dough and make it easier to handle when rolling out.