I think there has been some confusion the Like button doesn't display in the module only Share and Follow Us buttons. The like button is designed to be associated with content so it displays in Joomla, K2 or Zoo content items and is controlled by the component options.
Social Links does come with a Facbook Page module which has a like button for a Facebook page with options to show feeds, subscribers etc
It also comes with a module for Twitter and Google plus and all three of these modules as well as the content like buttons can be seen
in the Pro demo.