Mobile vs Computer Widgets caching settings

We have different widgets in a different order depending on whether someone is viewing the site with the computer or mobile. The site is responsive so that part is taken care of, but with cache on, either everyone sees the widget order for computers or they see the widget order for computers. Is there something that we can do to have two different caches? one for the mobile version and another for the computer version? They are using the same theme, so Im not sure the user-agent group settings will work. Ill continue testing to see if I can figure something out while hoping for a reply 🙂

https://ww.wp.xz.cn/plugins/w3-total-cache/