There is no way to "import" these recordings into Genesys Cloud, but you could use the Genesys AppFoundry product for this. We have developed our own store and search application for our customers.
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Robert Wakefield-Carl
TTEC Digital, LLC dba Avtex
Contact Center Innovation Architect
https://www.Avtex.comhttps://RobertWC.Blogspot.com------------------------------