Preheat the oven to 350ºF (175ºC). Line 2 large baking sheets with parchment paper and set aside.
Lightly grease a large plate with oil. Divide the mooncake dough into 16 pieces of about 25 to 26 grams each (it should be about a scant 1 1/2 tablespoons of dough). Roll the dough portions into balls and place them on the greased plate.
Because of the slight stickiness of the dough, I recommend rolling each ball of dough between 2 sheets of parchment paper or plastic (from a cut up quart-sized sandwich bag). I like using the plastic sheets because they’re easier to maneuver and I can rinse and reuse them. Take a ball of the mooncake skin and place it between the sheets of plastic (or parchment paper). Flatten it slightly with the palm of your hand.
Then, use a rolling pin to roll out the dough into a circle of about 3 1/4 to 3 1/2 inches wide. If you are making mooncakes with salted yolks, the dough needs to be at least 3 1/2 inches wide. I like to roll out the edges a little more thinly than the center.
Remove the top sheet of plastic (or parchment paper). Hold onto a piece of red bean paste with your left hand and drape the rolled out mooncake skin over the filling. Remove the other sheet of plastic or parchment paper.
Flip everything over so that the skin sits on the crook of your right hand. Wrap the skin around the filling and seal it up. If the skin rips during this stage, simply pinch the dough together. Once you finish wrapping the bean paste, roll everything in your hands until you get a smooth ball. (NOTE: I like rolling up the mooncakes this way because it doesn’t leave too many air pockets and it better ensures that the dough is evenly distributed throughout the cake. If there’s a more intuitive way for you to wrap the mooncakes, feel free to use it.)
Lightly dust your work surface. Roll the wrapped mooncake in the flour to lightly dust it. Then, gently roll the ball into a short oblong log. This will make the mooncake easier to slide into the mold.
Insert the mooncake into the mold and gently press it down with your thumbs. This helps to prevent the mooncake from falling out when you flip the mold over.
Flip the mooncake mold over a lightly floured surface. Use medium pressure to press down on the handle of the mooncake mold. Do not press down too hard or else the mooncake skin will start to squirt out from the bottom. Transfer the shaped mooncake to the parchment-lined baking sheet. Continue shaping 7 more mooncakes so that you have 8 mooncakes total.