Evans confirmed that huge offers had come in for the pair, as reported by HITC, during the January transfer window.
However, Leeds kept hold of their two prized prospects, and Evans claims that the club deserve more recognition for this than they have got.
"Everyone loves a new signing, but I took it the other way," Evans explained. "When I joined the club, despite the assurances of Mr. Cellino, I thought, with the levels of the offers that were coming in for the Cooks and the Taylors, that we would be losing some of these players. That never gets recognised.
"Blackburn lost Jordan Rhodes, and they made two or three good signings, but they are loan signings. I wonder what the view would have been if that had been Leeds. I think it would have been a lot worse."
Many Leeds fans criticised their side’s lack of ambition over the January window, as they did not complete many additions.
After losing Sam Byram to West Ham United, there was an expectation that Leeds would invest - but only one permanent signing was secured.
Toumani Diagouraga signed from Brentford on a two and a half year deal, but the only other two additions Leeds made were loans - with Liam Bridcutt and Mustapha Carayol signing up until the end of the campaign.
Leeds are currently in 15th place in the Championship table, with their next fixture coming against Nottingham Forest at the weekend.