I've looked at different sections of the demo and couldn't find this feature. Perhaps I missed it.

I understand that visitors can share any content by simply clicking on the "share" button but that is not what I'm looking for.

Can any member send their easysocial post to their other social network account like twitter, linkedin and/or facebook essentially posting the same message to those accounts?

As a reference, I am looking for something similar to publicize for wordpress.

Publicize makes it easy to share your site’s posts on several social media networks automatically when you publish a new post.