Reina spilled David Templeton's effort in the 84th minute to give Hearts a lifeline in the tie.
And Rodgers revealed how he was quick to reassure his 'keeper at Melwood yesterday morning - but not before wishing the Spaniard a happy 30th birthday.
"I spoke to Pepe briefly after the game and my first message to him this morning was to send him a text to wish him happy birthday," Rodgers told liverpoolfc.com. "He probably won't feel too good after last night but he's been fantastic for me since I've come here.
"He really understands what I'm trying to do and he's been very supportive on the field in what we're trying to do. As a goalkeeper it was just one of those things. Every outfield player can make mistakes and get away with it but for a goalkeeper there's no hiding place.
"Pepe's a good guy and what's important is that you reflect on the mistake and you use it as a lever to move on. It's gone now. It happens. Everybody makes mistakes. I will make mistakes as will the players but what you have to do is realise that you have made a mistake, reflect on it and move on."