This is something you unfortunately will always deal with.
My advice is to be REALLY good on your plays. Don't try to put the same weak calls into the game as your partner. Don't change how you referee.
Coaches will watch the film and see that your partner sucked and you did a good job. And will hopefully then rate accordingly.
As far as what you could have done, it depends on your relationship with the other official. If he is your peer, and you have a good relationship, I would definitely try to engage him by asking things like: "How do you feel the game is going?" "Are there any calls we didn't like?" Hopefully, you can start to have some honest dialog and improve things for the rest of the game.
If this other official is a "bigdog", I wouldn't waste your time. They are usually set in their ways and you don't really have the standing to approach them. So just be the BEST that YOU can be.
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