'Established' = 'bunaithe' i nGaeilge
When shortened, 'established' becomes 'estd.' How is 'bunaithe' shortened? Is it just 'bun.' ?

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I don't think bunaithe is the right part of speech for that usage. Bunaithe is usually used attributively as in "an established business", etc.

If we take the example of foilsigh "to publish", you will usually find either Foilsíodh i ... or Arna fhoilsiú i ... in Irish books for "Published in ..." rather than the (I suspect) erroneous foilsithe.

From that, I would say that the correct term is either Bunaíodh i ... or Arna bhunú/bunú/mbunú i ... (the form of bunú depending on whether the subject is masculine, feminine, or plural).

So the question becomes, can bunaíodh or arna bhunú be shortened? or do they even need to be?

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Múinteoir Gaeilge - Irish Teacher
My "specialty" is Connemara Irish, particularly Cois Fhairrge dialect, but I can also speak Ulster and Munster Irish with native-level pronunciation.
Is fearr Gaeilge ḃriste ná Béarla cliste, cinnte, aċ i ḃfad níos fearr aríst í Gaeilge ḃinn ḃeo na nGaeltaċtaí.
Gaeilge Chonnacht (GC), go háraid Gaeilge Chois Fhairrge (GCF), Gaeilic Uladh (GU), Gaelainn na Mumhan (GM), agus Gaeilge an Chaighdeáin Oifigiúil (CO).