Our theme does not influence the Slider Revolution functionality. I cannot view the site as it is under maintenance.
I would recommend you create slides for desktop and hide them on mobile http://prntscr.com/m506m6 and create separate slides for mobile and hide them on the desktop with CSS http://prntscr.com/m507s9
In this case, you can configure the slides in a different and more effective manner. Please note that image on background is not responsive by its nature it is always cut because the priority is for content.
Perhaps you can solve the issue by uploading cut images on mobile slides.