The Northern Irishman rested a clutch of star players with a view to the Champions League game against Bayern Munich on Tuesday night and struggled until Leigh Griffiths struck in the 43rd minute.
Killie midfielder Jordan Jones levelled on the hour and the Rugby Park side held out for a point, with left the Ladbrokes Premiership leaders ranked alongside Willie Maley’s Celtic side of 1917.
Rodgers, who confirmed winger Patrick Roberts will miss the visit of the German giants after sustaining a hamstring injury, said: “The players deserve all the credit they get.
“It is 100 years, and to achieve that over the course of the 62 games, and to win around 56 of them, is an absolutely incredible achievement by the players.
“It is a great testament to their work over the last 17 months and they get the chance next week to go out on their own in the league to get to 63.
“So they deserve all the credit and whatever happens in their time here their name goes into the record books.”
Kilmarnock boss Steve Clarke watched his side grab a last-gasp leveller away to Rangers on Wednesday night in his first game in charge.
After watching his side battle for another point against the other half of the Old Firm, to keep them off the bottom ahead of Dundee, he stressed the need for belief among his players.
The former West Brom manager said of the two points garnered this week: “It is probably a little bit less than I would have hoped for to be honest.
“I was hoping we could win one of them.
“I have been in the game a long time, I have been involved in so many matches I would be embarrassed to count.
“I have never gone to a game thinking we were going to lose. Never. There is always a way.
“If you don’t have that belief within you there is no point in going and that has been the message to the players in the last couple of games.
“It is okay to speak and say you will get a result but if you don’t believe it inside it is harder to get and in both games the players have shown they do believe.”