I have downloaded the premium theme, but it contains two folders named moodletheme and moodlethememobile. Why?

In Moodle, You can select different themes for different type of devices e.g. for desktops, for mobiles, for tablets etc.

You need to extract both folders in /theme directory of your moodle installation directory.

The moodletheme is to be used for the desktops only, and the moodlethememobile is to be used for moblie devices.

Note:- Here moodletheme means your downloaded theme.

You need to clear the theme cache after selecting a new theme everytime.