Hi!
I assume you are using fldigi remote XMLrpc as you have cqrlog and fldigi on different PCs.
That is because you say you can get time,date,mode,call to cqrlog.

With xmlrpc you have to log the qso from cqrlog's xmlrpc window. Save button appears after you have once set your TX on with fldigi.

Qso is logged to cqrlog, but NOT to fldigi's log.
If you want to log it also to fldigi's log (double logging) you have to press save first on fldigi, then press Save this qso at cqrlog's side.