Hi Din,
The best and easiest way to replicate that is to place a custom HTML block into the header (to have correct relative positions for the search container) with the search shortcode. It differs for every navigation, but generaly this:
<div style='position:relative;min-width:70px;min-height:60px'>[wd_asp id=1]</div>
This will output the search wrapped into a relative container. Now, going to the plugin search instance settings, use the following configuration: https://i.imgur.com/nEbu81S.png
You may have to adjust the min-height on the container code, and maybe the top value on the settings, but this should do it 🙂