Badge recipients can share badges to social media from their Award Email, Canvas Course or Badgr backpack. Badges can be shared not only on social media sites but also via URL Link and Embed code. See Sharing badges from Badgr for more information.
There are 2 different ways you can share badges to LinkedIn; as a post to your LinkedIn Feed or to the Certifications section of your profile.
You can also add badges to the Certification section of your LinkedIn profile. One advantage to using this approach is that the badge is persistently associated with your LinkedIn profile and does not get "lost in the feed". Adding badges to the Certification section requires some manual entry of badge information.