Giggs revealed that the impact of May's mauling by Barca was softened by securing a record-breaking 19th top-flight title last season.
The Welshman said: "I think everyone was disappointed about the Champions League final. The manager did a great job putting things into perspective as United fans wanted the 19th title so much.
"There are people who grew up, similar to myself, and who are older, who thought we'd never surpass Liverpool.
"So it was a mixture of the disappointment of the Champions League final but also savouring what was a great achievement in being able to catch Liverpool and overtake them in such a short space of time.
"Everyone was gutted about the Barcelona game, but it is a great achievement to surpass a record that, 20 years ago, no-one would ever have foreseen."