Hi Selina,
Thank you for your interest in our product!
If you get Events Calendar PRO, you’ll find a button to export the events on your calendar. The events will then be exported in a .ics file.
That would allow you, for instance, to import your events into a calendar application, like Apple’s iCal or Google Calendar.
However, I’m not sure Facebook allows you to import an .ics feed. This app used to make it possible, but it’s apparently broken: https://apps.facebook.com/import_ical
Although it’s not actually what you’re seeking, you might have a look at Event Aggregator: this plugin allow events to flow in the opposite direction (ie, they can be pulled from Facebook into your own WP site).
If you have any further questions, please feel free to contact us.
Cheers,
Jeremy