"Smiling supporters were cracking open the champagne on Saturday night but if England are to win the World Cup again, now - this week - is the time to be hyper-critical on and off the field, because they are not world-beaters yet.
"The World Cup is three years away and all the teams arrive fully loaded and prepared, which we just haven't seen from the Southern Hemisphere teams this autumn.
"Winning teams crack the whip in victory even more than in defeat and analyse why they are winning, always trying to raise the bar inch by inch in every part of their game.
"Everybody in the England camp will know that if that had been New Zealand on Saturday the game would have been lost after 20 minutes," Woodward wrote for the Daily Mail.
The last time the two nations clashed was two years ago when the All Blacks defeat England 24-12 at Twickenham.
Woodward also said he believes the All Blacks are a fitter side than the English who he said are on the verge of a 'golden era'.
"There are options and exciting possibilities everywhere and I genuinely believe that this, finally, is going to be the start of a new golden era for England.
"World rugby needs a strong England team, and at last we can say it has one."