Hi,
If you looking to have product added in category and removed after some time. You can do with mass action help. You also need to set up cron task.
You can do same or something similar like in my attached screenshots. So where screenshot is "add" it will add ALL products created automatically to specified category within 1 hour.
Where screenshot is "remove" it will remove ALL products from specified category after 7 days.
This is my set up I am using...
Hope it helps.
If you looking for something different then lets wait for hika devs answer.
Regards