The Anfield boss is hoping the American takeover will be the catalyst for his side to match their European achievements at Premiership level.
Benitez met the duo when their offer was accepted several weeks ago, but isn't likely to meet George Gillett or Tom Hanks again until their next visit to Anfield on March 31. However, he is hoping they saw enough against Barcelona to recognise what Liverpool can become with the right financial backing.
"I don't know how much they understand football, but it's clear they understand sport and they'll recognise the achievement on Tuesday," said Benitez.
"When Barcelona fans are using cameras to photograph the Liverpool fans, you know the atmosphere is special.
"When the draw was made, the Spanish Press said Liverpool had no chance. When we played Juventus in 2005, everyone said it would be impossible for us to beat a team if they had 80 per cent possession. It was the same when we played Chelsea, and I remember people saying AC Milan would score five against us in Istanbul.
"In Europe and in the Premiership, in a one-off game, we know we have the quality to beat anyone. The aim for us is to do the same over nine months of a Premiership season, and that is not easy."
Benitez insists the solution is not simply a series of multi-million pound signings, as many predict, but a broader strategy to enhance the competitiveness of Liverpool against Manchester United and Chelsea across a whole campaign.
"When people talk about spending money, it's not all about signing a lot of players," he said.
"The key is to spend money across the club to prepare for the future. Then, in years to come, you will be able to spend less on players.
"We need to understand all areas of the club can be improved, and then we can ensure the quality and level of the team remains the same each season.
"Last season, we finished only a point behind Manchester United, but you can see they have a settled team and needed only two top players each summer to take them to a higher level.
"When we arrived at Liverpool, the club was 30 points behind Arsenal. It's clear how much the team has improved, but we also know we need to do even more."
With David Moores vacating the chairman's seat before the next Premiership game at Aston Villa, Benitez was happy to ensure his reign ended with a major scalp.
"I told the chairman thank you for all his support," said Benitez.
"I don't just consider him a chairman, I consider him a friend."
Below the surface of satisfaction of a job well done, there is clearly disappointed Liverpool lost two successive home games which Benitez feels should have been won.
His recognition the performance on Tuesday was 'almost perfect' is classic Benitez code underlining disgruntlement his side lost.
"The game was really good in the first half and we did our job to get through in the second. But the final result was a pity," he said.
"It was almost perfect, but we must be pleased. Our desire to win and the work rate of the players was really good.
"But it's also clear we must analyse why we lost both the games against Manchester United and Barcelona. We always say if you can't win the game and take chances, you must keep focus and be careful to make sure you don't lose later in the game. That's what happened."
Meanwhile, Benitez told Peter Crouch to press ahead with the nose operation scheduled for today.