As the FCC does not seem to be mailing out authorization documents after the renewal application is granted, stations would need to go to LMS Public Access, find the renewal application, retrieve the authorization from a link.
To make this easier, FCCdata now includes a link to the granted renewal application.
To view the authorization, bring up the station in FCCdata. On the Application History (on the right side), if the renewal application is granted, the word "Granted" is a hyperlink. Click the "Granted" hyperlink and the authorization PDF will download to the browser.
This functionality will only work on renewal applications filed in LMS (starting with the radio renewal cycle in 2019).