The League Standings Table layout is controlled by the plugin’s Display Settings and by the [shortcode]’s arguments. The default settings for all standings tables on a site may be set on the plugin’s Display Settings page. The [shortcode] arguments for individual tables override the plugin’s default Display Settings. So each standings table may have a unique format.
The League Standings Display Settings Admin page is shown below. More information on the defaults for the fields is provided on in the [shortcode] documentation.