@Jennifer4338
Below are some articles on how to sync your calendar. A word of caution...synced calendars don't always remain synced and can suddenly stop doing so for no apparent reason. Remember to refresh your Airbnb calendar after every booking, as the syncing does not occur immediately. This can cause a double booking. If you are using a third party channel manager, this is normally not an issue. Many Hosts refresh their calendar syncs after every booking and verify the sync is still working.
Syncing your Booking.com calendar to third-party calendars
https://partner.booking.com/en-gb/help/rates-availability/extranet-calendar/syncing-your-bookingcom-...
Connect Your Airbnb Calendar to Other Websites
https://www.airbnb.com/help/article/99