Actually it’s pretty easy. If you’d like to use something like past events archive you can for example:

1. create a page (for example Past Events),
2. make a page template for it (e.g. page-past-events.php)
3. assign this template to Past Events Page
4. use this page template to create custom events query (http://www.dfactory.co/docs/events-maker-plugin/wp_query/) using WP_Query, get_events() or get_posts() function. You’d have use show_past_events and event_start_before parameters
5. Display the results of the query in the page-past-events.php page template the way you like it to (for example similary to archive-events.php)

There are other ways also, but that one should be ok I think.

Here are some tutorials on how to achieve something similar: