Andre Amougou netted a last-gasp overhead kick to help Burnley into the Carling Cup last 16 and leave boss Eddie Howe breathing a huge sigh of relief that extra time was not needed.
Daniel Powell fired MK Dons in front after six minutes, with the score staying that way well into the second half. However Kieran Trippier grabbed an equaliser with a well-taken free-kick in the 59th minute before Amougou's stunning effort in the last seconds of normal time.
Howe, who sees his side welcome high-flying Southampton on Saturday, said: "We were pleased that it didn't go to extra-time. We were disappointed at half-time, I felt we were flat and we were rocked by conceding early."
He continued: "It was a battle to get the atmosphere going again and it was a difficult half but I thought for the last half-hour, we were dominant.
"Kieran scored a number of free-kicks last year for Barnsley. We worked with him the day before the game and it was a great goal and I was delighted for him.
"In fact we scored two great goals and a special goal won it for us. I wouldn't say overhead kicks are a regular feature of Andre's game but it was a great goal.
"I felt the second-half performance was a lot better and I think we deserved it based on that, we were a lot quicker with the ball and got a number of crosses in."
MK Dons boss Karl Robinson admitted his side left Turf Moor with their heads held high despite failing to hold onto their early lead.
"My team were brilliant and I am very proud of the young kids who came and played football in a way that I think is very unique within this country," said Robinson.
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