wc-product-search not list the variations at non-admin role

Can you please explain more about your problem?
When you search for something, it does not return variable products?

There is no variations are listed when i search for the product, It list only the simple products & variable product parent. You can found this problem in non-admin role & shop_manager role

sorry, except admin & shop-manager role

What theme are you using? Maybe the theme is overriding the search results. In the catalog is everything showing up?

2013 theme

What about the catalog? Is everything showing up?
Have you tried disabling other plug-ins?

see the pic

What plugin are you using for the AJAX search?

multi vendor

You should contact the multi vendor plugin author.