Nextend makes pretty and well-written modules for Joomla and Wordpress. I've optimized a website which uses one of them and it had a weird issue: sometimes the module would appear unstyled and CSS/JS files in the "media/nextend/cache/" directory returned 404. After reading some code the solution was obvious: Varnish was set to cache pages for at least 2 hours, while the Nextend module only cached it for 15 minutes, and deleted old files. Because every time it creates a new directory for updated cache content, it deletes old ones - cached HTML pages were referencing URLs which did not exist any more.
The solution was very simple: in Joomla admin go to Extensions - Plugins - Nextend Library, then click Configure in the Basic Options and set the cache time to the same value your Varnish installation uses. For the best Varnish + Joomla experience, see our offer.