The Reds were cruising at half-time in their Capital One Cup encounter at Anfield but saw their two-goal lead wiped out in the second period by the dogged visitors.
However, after goals from Daniel Sturridge and Jordan Henderson saw out a 4-2 victory for the the hosts in extra time, Rodgers hailed his squad's character, telling reporters: "I've got to give credit to the players. Maybe a year ago we might have lost the game.
"I think they showed tremendous character, especially going down to 10 men [due to Kolo Toure's injury] and controlling the game at that stage.
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Aly Cissokho, Joe Allen and Toure were all forced off with injuries during the game and Rodgers discussed the possibility of the trio facing time on the sidelines.
"It was obviously disappointing with Cissokho getting injured early on," he remarked. "He was distraught coming off as you can imagine.
"Joe Allen we need to check but he has maybe tweaked his hamstring and Kolo Toure has overstretched his groin which doesn't look so good, to be honest."
But the Northern Irishman remains adamant that the extra 30 minutes' play will have little affect on his fit squad members ahead of Sunday's clash with Manchester United at Anfield.
"We've got plenty of recovery time now for the players," Rodgers insisted. "That was the idea, that I could put some of the senior players in knowing there was enough recuperation period after the game and obviously to give our young players some experience tonight.
"They'll all be fine, they'll recover well and we'll be excited now looking forward to that game on Sunday."