Salut!
The Ju 188 was most likely from Luftflotte 1 and as such probably served under Fernaufklärungsgruppe 1.
(see:
http://www.ww2.dk/air/recon/fagr1.htm )
AFAIK the foremost Lfl 1 Ju 188 unit at the period was 3./AGr 22. Another Luftflotte 1 reconnaissance unit with the type was 5./AGr 122, but Andrew Mitchell's excellent homepage for the unit (
http://www.luftwaffedata.co.uk/ ) doesn't have this loss listed.
Checking Michael Holm's homepage it looks like neither of these two units had Ju 188 loss "durch Feindeinwirkung".
Taking new direction it looks like that 4.(F)/14 also had Ju 188 and bingo! - the unit seems to have three Ju 188 D-3 losses due enemy in October 1944 (
http://www.ww2.dk/oob/bestand/aufkl/b4ag14.html )
4./14 at the time was based at Wormditt (Orneta, Poland today) and this is some 330 km WSW Vilnius. Possibly "your" Ju 188 came from this unit?
As always with Lfl 1 units from 1944 I would like to hear if any photos are available (probably not?).
Cheers,
Kari