When the dough is ready, divide it into 6 equal parts.
Using some flour to keep things from sticking too much, press the dough pieces out on a flat surface with your fingers. You can use a rolling pin if you want but I didn't find it to be necessary. You want to make an oval shape a littler longer than the hot dog length you formed.
Now fill each dough with a piece of the meat and some cabbage.
Fold in the ends over the meat first (like you would a burrito). Then bring the sides up and pinch them together. The dough should pinch together easily and be easy to form how you want. You can then make designs at the seam or leave it smooth like a burrito.
Now, to steam the gyoza dogs, put a few inches of water in the bottom of a pot fitted with a steamer basked and bring the water to a boil.
When the water is boiling, add the gyoza dogs, cover, and steam for 20 minutes.