Our Concerned team will install and setup Connector on the Live Site and get the things ready to go situation for you. Installation of eShopSync as well from the AppExchange, in case it is not installed at Salesforce end.
We will sync a test record of Users, Categories, Products, and Orders to make sure that synchronization is working fine. Further, you may proceed with synchronization on your own.
NOTE: We would recommend providing Development Site details to install and test the connector. Once it is tested and verified then you may proceed to install the connector in Live Site.