If you want to redirect to the actual search results page, where you have the elementor customization active, you can do that by changing the magnifier and return button events to redirect to the results page. You may also want to disable the live search triggers in that case.
There is also a different way – you can use a custom built page as the search results page, where the plugin redirects to. This documentation will guide you step-by-step for that as well.