Question on Upgrading from On-Premise CRM 2011 to 2016 On Premise & Managed Solutions

We have a managed solution that is used for a third party application used with our 2011 CRM instance.  We are upgrading to 2016.  Does this require obtaining a new managed solution file in the 2016 format or would the upgrade process handle this.  There are some configurations in the customizations xml file that need to be tweaked for various environments (testing environment etc) . Since I cannot export the managed solution from the 2016 environment I believe we would need the 3rd party to provide a 2016 solution file.

Thank you for any insight.