need help understanding the error-message: Error Connecting to database FATAL : no pg_hba.conf entry
The no pg_hba.conf entry message is a generic message that means that something did not work out with the connection attempt. PostgreSQL uses a generic message, so that an attacker cannot draw conclusions from the kind of message she gets.

The true problem is probably:

SSL error: certificate verify failed


That would mean that client and server attempt to start an encrypted connection, but the client does not recognize the server certificate (because the certificate that was used to sign the server certificate is not a certification authority that the client recognizes).