CrossPageTracking does what it reads on the tin, makes tracking tables with the same unique ID carry over the check status over to other pages with tables of the same unique ID. Because sometimes things just can be listed in more than one place.
As the tables have the same format in mobile, this script is usable there too, you can add this script to the your Special:MyPage/common.js in the wiki you want this enabled for mobile too, to allow the cross page tracking to be functional on all devices.
Note: updating tables in mobile without doing the above will result in the changes being reverted when viewing the table again on desktop, as the JS cannot know the user has done changes in mobile and not in another page's table.
Installation
Text above can be found here (edit)