Add extra content when using mobile header on desktops

Hello there,

Could you kindly explain what's the best way to add a couple of items to the area highlighted on this image?

I have set up Navigation as Header and also enabled the Mobile menu to work even on desktops by increasing the breakpoint to 1200px. I tried using the 'inside_mobile_header' hook but it made the content appear on to the left hand side of the logo. Ideally I want the new content to be added to the blank area in the middle or just before the search icon.

Many thanks and regards,

Pradeep