When you move inventory to a new Magento server, the product data (e.g. Product and Order identifiers) may be changed. M2E Pro is strictly connected to a Magento server you use, so the data change can impact your M2E Pro Listings and settings.
To preserve all your M2E Pro data and settings while moving to a new server, follow the next steps:
1) Transfer all M2E tables (they have names starting with m2epro_) and Magento core tables to a new server. For that, you can use Magento backup tool or a full MySQL dump.
2) Install the same version of M2E Pro on another Magento site (Magento version should also be the same).
For more information, you are welcome to contact our Support Team at email@example.com.