Hi,
The plugin can redirect to the WordPress results page, and also override the results page. The results page layout always depends on the theme you are using.
The results page is always managed by WordPress core (when the ?s=.. query argument is present), some page builders have a capability to make changes to that results archive, if the theme supports it. You should try to change the results page archive template via the WPBakery, but I am not sure if it supports that.
If you want to use a custom made page as the results page, that currently is only possible via Elementor Pro, for that check this documentation.