Your ability to be compensated depends a bit on the situation, in particular were there other passengers ‘abandoned’ or was it just you and your wife?
If there were multiple persons left behind due to incompetence or a lack of communication, then you have a chance. But if it was just the two of you, Iberia will be able to claim that others reboarded and you folks decided not to. Passengers miss boarding their flights all the time and while airlines will try to call them via the PA system, they won’t delay the flight for one or two passengers.
Your best bet is to write them a polite letter, outlining what happened and ask for compensation.
Credit:stackoverflow.com‘