Turn the oven on to 350 degrees F.
Take the dough and punch down, knead for 1-2 minutes. Then cut the dough into 3 or 4 pieces.
Take a piece and run this through a pasta machine***** to a setting of about 4. You want the dough to be thin but not too thin that it tears.
Alternatively, instead of using the pasta machine, you can take smaller balls of dough and roll them out using a small rolling pin into a circle of desired size. The pasta machine will be limited in the diameter of the rounds you can make, so if you want larger buns you will have to use this technique. Using a large cookie cutter, about 3-4 inches, cut out rounds of dough.
Place 1+ tbsp of the filling onto the round. Moisten the edges and fold over into a half moon shape. You can place a second round ontop of the first to keep the round shape and make them more substantial.
Place the assembled buns on a parchment covered cookie sheet.
Whisk the egg and water well. Using a brush paint each of the buns with the egg wash.
Sprinkle, or dip, the buns into the sesame seeds.
Bake at 350 degrees F until golden brown. Remove from the over let cool enough to handle and enjoy!