Also, I would recommend you to activate Header builder via Theme options and create the desired header for desktop and mobile from scratch depends on your needs. Here you can find video tutorials – https://www.youtube.com/watch?v=RbdKjQrFnO4&list=PLMqMSqDgPNmDu3kYqh-SAsfUqutW3ohlG
Search results page inherit sidebar position from shop page, but in search settings of the header builder, you will be able to change “Sidebar Position” http://prntscr.com/puo6g9
Regards