To print its categories that article uses the function wp_list_categories. The parameter that dictates how elements are ordered is “order_by” which it sets to “name”. Other options are listed under parameters, order by, on that function’s page in the codex: http://codex.wordpress.org/Template_Tags/wp_list_categories
It seems that the option you have are ID, name, slug, term_group and count. Anything else will require more work than just changing a parameter. The solution might depend on what kind of sorting you are looking for.