Two things.  One is that a theocracy is, by definition, religious.  One cannot have a technical theocracy; that would be a technocracy.

The second is that Facebook is not as neutral as one might think.  The news that it displays to its users is based on the preferences of the users based on sifting through their history.  Facebook effectively amplifies the echo chamber by presenting to its users only those news stories that align with previous news.  Traditional news sources, such as the G&B, may have their agenda, but at least one may bump into a story that challenges their beliefs and values.