ODME to Google
The secure connection between ODME and Google uses IMAP to migrate email using SSL 3.0.
Google uses TLS 1.2 for SMTP connections which is not used by ODME.
ODME to Office 365
The secure connection between ODME and Office 365 is SSL for the EWS connection into Office 365.
Note: Microsoft has additional information available in a Security in Office 365 White Paper.