I am using webservices to export web from sharepoint online. Migration is working fine but versions are not getting migrated with the web. I am using ExportWeb method of /_vti_bin/Sites.asmx service. Is there any OOTB method to export versions along with other content ?
Try SPServices' GetVersions function http://spservices.codeplex.com/wikipage?title=Versions&referringTitle=%24%28%29.SPServices