It was the most number of points ever conceded in a Test match by any Lions team, stretching back 114 years, and their second-heaviest defeat following a 38-6 All Blacks thumping in 1983.
New Zealand, led in virtuoso fashion by fly-half magician Dan Carter, wrapped up the series, but Woodward preferred to highlight a vast improvement by his team.
"There was nothing more we could have done - no-one gave up," said Woodward.
"They scored at critical times, but we were playing against a very good team here. From the Lions' point of view, we got so much right, but the score got away from us.
"I don't think it was a hiding, that is too harsh. I thought the Lions did very well, but the better team won.
"Personally, I believe it has been a successful trip. I've lost a lot of games (in his coaching career), yet just because you lose, you haven't got to be down on yourself. I think from the Lions' point of view, behind the scenes, the players have been fantastic.
"In four years' time (South Africa), I look forward to seeing how my successor will handle this. You have to juggle a lot of things, but I have absolutely no regrets the way I have gone about this trip."
Carter scored two tries, booted five penalties and four conversions, giving him 33 points and setting a new All Blacks individual landmark against the Lions.
"This is a very good New Zealand team, with a lot of pace all over the field," added Woodward. "The way they offload is something special.
"Carter is a special player. The try he scored summed him up, and New Zealand are very lucky to have him - he had a great game."