To create such layout you need a good knowledge of custom fields. The image you sent me is the demo search engine with custom field filters. What it does, is filters the results that match the criteria, as configured on the back-end.
Each of the filters has a related custom field to it. For example the price slider on that picture is connected to the “price” custom field, which is set to a number at every post. So you will need to know which custom fields you want to use first.
There is a short description in the documentation on how to create and use these filter boxes, please read it very carefully: Custom Field Filters
I'm sure you will understand it quickly, it's intuitive once you get the hang of it.
To get that exact design, select the “Demo – Isotopic Blue” (last option) from the theme selector list, which is the first option on the Theme Options panel.Best,
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