The ruling on offering the 'Id sacrifice on behalf of a deceased person
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Is it recommended that the 'Id sacrifice be for the father, for example, if he has passed away?
It is not part of the Sunnah for a person to offer the 'Id sacrifice specifically on behalf of a deceased person. The Sunnah is for a person to offer it on behalf of himself and his household. If he intends it for the living and the deceased members of his household, then the bounty of Allah is vast, and there is nothing wrong with that.
As for restricting it to the deceased to the exclusion of the living, this is not part of the Sunnah. It has not been reported from the Prophet (peace and blessings be upon him) that he ever offered the 'Id sacrifice on behalf of any deceased person independently.
It is not part of the Sunnah for a person to offer the 'Id sacrifice specifically on behalf of a deceased person. The Sunnah is for a person to offer it on behalf of himself and his household. If he intends it for the living and the deceased members of his household, then the bounty of Allah is vast, and there is nothing wrong with that.
As for restricting it to the deceased to the exclusion of the living, this is not part of the Sunnah. It has not been reported from the Prophet (peace and blessings be upon him) that he ever offered the 'Id sacrifice on behalf of any deceased person independently.