A quick attempt to transliterate it into a more standard Ashkenazic accent (ch = ch as in loch; aw for kamatz patach--someone with a YIVO background can probably fix this:

Adir ayom v'noraw
Batzar li l'chaw ekraw
Adonai li (v)lo eraw

G'dor pirtzas heichawli
Dagul mahair chachlili
Adonai heyeh ozeyr li

Hain ataw sikvawsi
V'lishuawshechaw keyooysi
Adonai oz y'shuawsi


A quick stab at dealing with the words with Hungarian vowel shifts, as I listen to Marta Sebestyen singing it:

Adir ooyoim v'noiraw
Batzar li l'chaw ekroo
Adoinoi li (v)lo eeraw, v'lo eeraw

G'doir pirtzas heichawli
Dawgil mahair chachlili
Adoinoi heyeh oyzeyr li, heyeh oyzeyr li

Hain ataw seekvawsee
V'lisheeawshchaw keyooysi
Adoinoi oz y'sheeawsee, Adoinoi oz y'sheeawsee

(repeat above three verses)

ybom bom bom bom etc.
aho, aho o

--Charlie Baum