categories list

I have been asked if I can rebuild this site. But I can not figure out how to list categories the way it was done on his site. I don’t no what plugin was used for this.
I have looked all through his plugins and can’t figure it out. the link to the page is a copy of his site. I can send a admin login if needed.

Thank you
Chip

The page I need help with: [log in to see the link]