The Red Sox’s final bid for Mark Teixeira last week was eight years at $168 million, Hardball has learned.

That means the Yanks — with a winning offer of eight years at $180 million — outdistanced the Red Sox by $12 million to land the switch-hitting first baseman.

Red Sox owner John Henry and GM Theo Epstein met in Dallas last week with Teixeira and agent Scott Boras. After the meeting, Henry announced that the Red Sox were being told by Teixeira that there were larger offers out there for his services.

Boston stayed in the competition, but according to sources, never raised its offer beyond the $168 million.