He suggested "Barriage," I think. (My radio's reception was poor.)
How about Gayrriage?
Many words and phrases have been coined to represent societal changes of the past decades ("Ms.," "mail carrier," "chairperson," "flight attendant," etc.)
I don't think gays have the right to call a homosexual union a marriage any more than a man has the right to say he is "female" on his driver's license.
"Marriage" is already the union of a man and a woman...
A new word should be coined for homosexual unions. (Harriage?)