I use my stand mixer to knead the dough and then use the attachments to make the sfoglino and cut the shape I want.
This is almost exactly the recipe I use when I make pasta, except I use half “00” flour and half semolina. I use my stand mixer to knead the dough and then use the attachments to make the sfoglino and cut the shape I want. I fold the dough in thirds like you did as well.