Beane turned down the offer, but Theo Epstein (then Sox GM) employed many of Beane's tactics. I suspect the reason he found more success than Beane is because the Red Sox have a payroll over three times larger than that of the A's.

And of course, Big Papi's 8 walk off hits in the 04 playoffs, and the pitching in 08 and 13, certainly did not hurt.

Source: Die hard Sox fan