Problems with sidebar in non-active themes

Hi, I’m using W3 Total Cache to show a different theme in mobile devices.

I’m trying to use “Twenty Thirteen” for mobile and tablets, but I can’t configure it to show the sidebar if it’s not the active theme, and in some sites it shows the sidebar of the active theme instead the correct one (for my desktop version I’m using a different theme).

Do you know how to solve it?
Thanks in advance.