Hello,

You can add a search in the header. You need to configure it to be a form. I would be AJAX and you will set what to find: post/products or projects.

Besides, there is AJAX Search widget. You can insert it in any place of your page:

Create a custom sidebar, insert the search widget, add the sidebar in any place of the page by means of the Widgetized sidebar element of WP Bakery page builder.

Best Regard