Extending this answer for custom post type support.
For a custom post type you can pass an extra parameter ( post_type ) to url, example –
www.example.com/?post_type=FOO&orderby=title&order=dsc
Note – If you’ve specified some url rewrite for that post type then the above url will become something like this but still showing all posts of post type FOO with descending order by title.
www.example.com/FOO/?&orderby=title&order=dsc