Review the Sharing the Gospel Online section of LDS.org to learn about using various types of social media to share the Gospel.
Go to the updated page Internet Tasks that Promote the LDS Church to find specific tasks (many of them only taking 5-10 minutes) you can do to share the Gospel using the Internet.
The links to e-mail the Church after completing each task don’t work. Specifically, all e-mails to that address get rejected with a 550 “authentication required” message.
I guess I am a little confused. You seem to be mixing promoting the Church with promoting the Gospel. Part of your post (including the headline) seems to focus on promoting the Church as an organization but then another part focuses on promoting the Gospel. These are two entirely different things. The Church is a vehicle used to help people implement the Gospel in their lives. As we grow in our discipleship, the need for the Church scaffolding diminishes. Elder Poleman gave a great talk about this in general conference back in 1984. Perhaps the title of your post should be changed to emphasize promoting the Gospel and not the Church organization?