hau,Zach, Rooting cuttings of mulberry can be done several ways, the truncheon method is probably the least successful of these methods for this tree/bush.
The easiest method for getting good rooted cuttings is ground layering, bend a branch to the ground, using two staples (horseshoe shaped heavy wires)
make some narrow scrapes on the stem that touches the ground, just through the bark so the cambium layer is exposed (make several of these going around the stem so you will get even root formation)
next cover this area of stem with soil and water with a vitamin B-12 solution. water this soil patch every other day for two weeks with the solution. Then simply water when the soil is drying after that.
Mulberry will take around two months to form a good root system, when the
roots are well developed simply cut the branch so you get the roots and stem above them and plant in a container for moving.
You can also Air layer or you can use a cutting and rooting hormones. If you are going to use cuttings you will need a jar to cover.
Mulberries take a while to root, so the best method is the first one or Air layering. cuttings can work but they will take just as long and you have to have a bell (large
enough glass jar to hold the whole cutting).