The 56-year-old Dutchman admitted that David Moyes' side were the better team during the game before lauding the spirit that his players displayed as Steve Sidwell hit a late goal
Despite going ahead in the first half through a Tim Howard own-goal after a superb Bryan Ruiz free kick, two Marouane Fellaini strikes after the break turned the game on its head, before Steven Sidwell's last-minute equaliser and Jol has admitted that he thought the visitors were the better side.
"Firstly, we were playing a very good team who had a lot of possession but the game changed over 90 minutes," Jol told reporters.
"They dominated us and [Alexander] Kacaniklic was nearly playing at left-back, while [Damien] Duff over the other side was the same. We had a spare man in midfield, but they were almost playing a 4-2-4 and Fellaini was more of a striker than a midfield player today and it's a very good and brave style.
"I feel that when you play against the better teams, whether it's 4-3-3 or 4-5-1, you could play around them, and we did that two or three times, but that's not enough. The first ball was always to Fellaini and the second ball was for them and then they started playing as well.
"We are a good team and you could see that in the first half where we took the lead through a great free-kick from Bryan Ruiz, but you could see that they were probably still physically stronger and that helps.
"We had problems closing them down at the back and in making lots of interceptions in midfield, so they had a lot of chances in on goal."
When asked whether his side's good home form played a part in their dramatic comeback, Jol praised the spirit of his players, and also the style of the opposition in the process, comparing the Toffees to Barcelona.
He added: "That was another thing on my mind because I can't remember a time when we gave away the lead and lost here and it's a long time to lose.
"You can give away a lead and draw, which is different as we did that at Reading last week, but to give away a lead and lose and I was very happy that we were able to keep going.
"The only thing that I can say that's positive is that we never gave up. Everton were stronger than us, they are a very good team and they pressed us and their full-backs were almost playing like Barcelona's do."