I need a list of good interstate and international delivery or logistics company to run delivery for a cosmetic company.

There are many logistics companies that you can gather here on NL... just do a search for logistics and you'll see their threads. You do your due diligence. I just did and it pulled up several ones, includeing this: https://www.nairaland.com/1789589/ibl-procurement-logistics-service-non-lagos . I haven't used them before but you need to check and confirm positive feedback from the thread.

You can also check out God Is Good too - ie GIG Motors. they do interstate deliveries as well.
Hope that helps