No Search Button in Header Menu.

When i use menu in Header there is no search button. But when i place the menu in Topbar i get the search button. Yes by widget i can bring search button. But as i have hidden sidebar for mobile version so i don’t get to see it. Can anyone please help me.

Here is the screenshot: https://i.imgur.com/O3wjAb1.png

I want the search button in navigation right at the corner. Just like it is in Topbar and it will be visible in mobile version too.

My website: https://byteziif.com/