BAIL: MMS(6888): d:\bt\35150\private\source\miis\ma\managed\manhost\manhost.cpp(1357): 0x80230709 (unable to get error text)
BAIL: MMS(6888): d:\bt\35150\private\source\miis\ma\managed\nathost\nathost.cpp(767): 0x80230020 (unable to get error text)
BAIL: MMS(6888): d:\bt\35150\private\source\miis\cntrler\cntrler.cpp(3621): 0x80230020 (unable to get error text)
BAIL: MMS(6888): d:\bt\35150\private\source\miis\ma\managed\manhost\manhost.cpp(2133): 0x80230709 (unable to get error text)
BAIL: MMS(6888): d:\bt\35150\private\source\miis\ma\managed\nathost\nathost.cpp(870): 0x80230709 (unable to get error text)
Forefront Identity Manager 4.1.3613.0

This is everytime i run export to FIM DB task. (it is finished with "stopped-server" state)

Check the versions of FIM Sync and FIM Service\Portal.  Make sure you are on the same patch level

If that checks, reboot the boxes, Sync first then Service\Portal.