as Amir suggested,
Safest way is to use the migrate -l assuming you have enough space for the entire compressed log/mgmt-DB.
to check, run:
du -sh $FWDIR/log/; df -h /var/log/
Verify you have more than x2.2 available space in /var/log/ than the log-Dir ($FWDIR/log/) uses.
example: log-Dir = 100GB > Available space in /var/log/ should be 220GB at least, if not, it may delete your older log-files during the export procedure.
if you do NOT have enough space, then you can manually copy all needed log-files (see their dates in name) in $FWDIR/log/*20*.log* to target-server.