You can moderate testimonials on the frontend and backend of your site.
To edit on the backend of your site you need to goto "Components" -> "Freestyle Testimonials" -> "Moderate"
To edit on the frontend of your site, firstly, you need to goto the users page on the joomla backend under components -> Freestyle testimoials -> users and add some users with moderate permissions.Then you need to create a menu item to "Freestyle Testimonials" -> "Admin: Comment and Testimonials" for Freestyle Testimonials or "Freestyle Support" -> "Admin: Comment and Testimonials" for Freestyle Support. The user should be able to edit testimonials within the new menu item.
Support Portal, Testimonials