The front one is a regular 4-strand round braid.
The thicker back one is an 8-strand twist.
You can do this with a regular hand drill.
There are 4 pairs of 2 conductors.
You take a pair and twist it in the chuck of your drill until its twist is even. In the picture they did It counter-clockwise.
Then you take the 4 pairs and twist them in the drill the OPPOSITE direction. In the case of the picture, clockwise. And you're done.
Theirs looks very uniform. Might take a little practice.