Headers shown on mobile

Hi,
I’ve configured headers for computer, tablet and mobile. I can see the different headers appearing on my computer when changing the explorer window width. None of them has a search box.

However on a mobile I see an unexpected header. It has a menu icon and a search box. I don′t see my page icon.

If I select “see as if it was a computer” in my mobile explorer, I can see the correct headers. The one supposed to appear for my screen width.

Any ideas? Thank you in advance.

The page I need help with: [log in to see the link]