Hello there!
Sorry to disappoint you, but at this moment our Hotel Booking plugin doesn’t support integration with API channel managers.
I’m not very familiar with Eviivo, and not sure what channel manager they use, but the paid version of the Hotel Booking plugin supports iCalendar synchronization and is able to exchange bookings with other platforms/OTAs that support it too.
Also, I would like to say that we already have this feature request on our list of features and if we collect more similar requests from our customers, our developers definitely consider such a feature implementation in one of the future plugin releases. I add your upvote and we let you know if we receive some updates on this matter.