Q:

Should I mention the names of the people who are offering the udhiyah?

A:

In the Name of Allah, Most Gracious, Most Merciful.

All praise and thanks are due to Allah, and peace and blessings be upon His Messenger.

Thank you for your good question.

It’s recommended for the person offering the udhiyah/qurbani to say “in the name of Allah”, and then to state that he/she is offering the udhiyah on behalf of so-and-so.

Abu Hurairah reported that the Prophet (peace be on him) offered two big, fat, black and white rams, and both were horned and castrated. He (peace be on him) placed his foot on the sides of one of them and said, “In the Name of Allah. Allah is the Greatest. (Here I offer this animal for Allah’s sake) on behalf of Muhammad and his kith and kin.”

Then, he (peace be on him) placed his foot on the sides of the other animal and said, “In the Name of Allah. Allah is the Greatest. (Here I offer this animal for your sake,) Oh Allah; on behalf of Muhammad and his nation, those who witness that there is no god but You and that I have conveyed the Message You have sent me with.”

May Allah accept your and our good deeds! 

Allah Almighty knows best.