Green’s Dictionary of Slang

(Aus.) to damage, to obscure; to lie.

1986		R.G. Barrett Godson 325: ‘Change the plates. Bodgie up the rego’.
2006		B. Matthews Intractable [ebook] I bodgied the enlistment forms, stating that I had no juvenile record, and forged Mum’s signature giving permission for me to enlist.