We have an Eng Fail procedure for all take-offs and landings published with our RTOW charts. Same procedure for both for all our current runways, with the important proviso that the procedure begins at the DER so no turns allowed before passing the far end of the runway in G/A. This covers all cases.
Airbus uses a ridiculous term EOSID - engine out SID - which clearly it cannot be as by definition all a/c from all operators would fly the same procedure if it was a SID. Just another example of their careless use of language.
In every case there's a need to consider engine failure in the G/A so those who think the normal G/A procedure will do are sadly mistaken. It MAY give you the required obstacle clearance but then again it may not. Are you prepared to take that chance? I'm certainly not.