After migrating an instance of Magento (via any method) you have to edit the Magento Database. You see, the migrated version of Magento will still be setup to work with the Original IP or Domain name (whatever you had the Base URLs set to).
So, post migration you need to go into the database and amend those URLs. Checkout this Chapter 6 of How to migrate Magento 2 from one server to another. It’s about the last 5 minutes of the video.
Just to clarify, the Server Configuration will be fine - No need to touch it. It’s simply Magento rerouting your browser request.