Wayback Everywhere

Addon to Auto-redirect every page opened from twitter/other feeds to its archived version in Wayback Machine; auto-save the pages to Wayback Machine if not yet archived and It can auto-exclude sites based on error message thrown by Wayback Machine if a page cannot be archived. Bundled with a list of 600 sites (to provide a starting point) and it can be updated as you browse from the popup menu or settings page.

Help page from the popup menu details the complete functionality of the addon