Drogba admitted he feared the worst when Thomas Muller's 83rd-minute goal put Bayern on course to land a fifth European crown.
But it was Mata who did most to lift the striker's spirits.
Drogba added: "I was a bit down when they scored. But Juan Mata kept saying 'you have to believe, you have to believe' and that gave me a boost.
"And it paid off. He took a fantastic corner and I scored, so it was superb."