I believe that I've found the unit in question - it should be Airoldi, not Ciroldi. Reference to it can be found in the link below (Czech language webpage); 2/3 of the way down:
ERNEST v. KUDER
k.k. Oberlieutnant im
23. L. I. Regt. Baron Airoldi
geboren in Darmstadt
gefallen in der Schlacht
bei Trautenau 1866
http://www.vets.cz/vpm/mista/obec/2736-choustnikovo-hradiste...You may want to try the Austria-Hungary board at AHF:
http://forum.axishistory.com/viewforum.php?f=26&sid=f018...edit to add:
L. I. R. should stand for "Linie-Infanterie-Regiment" ie. "line infantry" or the active infantry regiment, as opposed to landwehr or other units raised specifically during wartime.
I believe that "Baron Airoldi" would refer to this person and would be an honorary title.
http://sl.wikipedia.org/wiki/Paul_von_Airoldi