VRBO/HomeAway can be connected to Properly via iCals. An iCal is a calendar file with events in it, in this case bookings.
First you need to export the iCals from VRBO/HomeAway and then add them to your properties in Properly.
Export VRBO/HomeAway iCal Instruction:
Here are the instructions on how to export HomeAway/VRBO iCals as taken from their website:
Add VRBO/HomeAway iCals to properties in Properly:
1.) Select the property
2.) Then, go to the Connections tab of that property
3.) Scroll down slightly till you see iCal and click Connect
4.) Fill out a name for the connection and paste the iCal from VRBO/HomeAway in the designated fields and click Connect
Your bookings will be imported right away and the iCals will sync every 2 hours.