Hi Reza!
Thanks for reaching out to us!
Unfortunately, that is not a built in functionality of any of our plugins.
Like you said, Event Aggregator enables the import of events from Facebook to your WordPress site, but publishing events to Facebook would have to be done via another implementation of a plugin or some custom coding.
I could not find any other plugin that allows you to do that, but I did find an interesting article that shows a way to publish from your WordPress site to Facebook using IFTT that you might want to explore > http://www.wpbeginner.com/beginners-guide/how-to-automatically-post-to-facebook-from-wordpress/#ifttt
I hope that helps. Let me know if there is anything else I can help you with.
Best,
Victor