Hi,
You can either use the search and the settings shortcodes separately within a page builder block next to each other, or use the shortcode builder to make an inline version of a single shortcode with the settings and the search box.
For example, a finaly shortcode could be:
[wd_asp id=1 elements="search,settings" ratio="70%,30%"]
There is also this tutorial where a similar layout is built, you can read about it here. The shortcodes are mentioned on the bottom of the tutorial text.