Include Search option in menu when it's included in Header

I’m using this theme and have a menu in header. I had the menu topbar earlier but that pull down logo in mobile version. Now I included the menu in header instead and it’s nice but there is no search icon/option in mobile version. Please add this small feature.

Also If possible please try to keep logo, menu icon and search bar at same level in mobile as it occupies above the fold content.

Thanks.