The Iron had lost their last five Championship outings, and had been frustrated by bad weather forcing the postponements of games against Nottingham Forest, Portsmouth and Preston North End.
The players had spent that time working hard to get their season back on track, and were rewarded handsomely with all three points at Turf Moor thanks to goals from Martyn Woolford and Chris Dagnall.
"It's a long time since we've had a game, so it's been frustrating for all the staff and players," said Baraclough
"It is another victory away from home against a team who were in form at home, so it's a great credit to the players. You train all the time and you want something at the end of it, and it's been frustrating. We've put in almost a full pre-season since our last game.
"We dealt with everything which was thrown at us, and that's down to a few days' work. We knew what Burnley would throw at us, and we dealt with it well."
Baraclough also clarified that the club had received no formal interest in players ahead of next month's transfer window, despite speculation linking Woolford with a move away from Glanford Park and attempts by Michael O'Connor's agent to drum up interest via the media.
"We're working hard to bring people in, and one or two of those might come off. I don't want to let anyone go, and we've had no enquiries for our players," he added.
The Burnley manager Brian Laws cut a frustrated figure after the match. Some Clarets players called for him to be sacked during and after the game, and Laws understood their frustration.
The loss against his former side - he managed the Iron from 1997 to 2006 - was harder to take as it came off the back of an impressive Boxing Day victory at Barnsley.
"After a fantastic performance against Barnsley, it was a chance to create a stepping stone to take forward and get some wins together, something we haven't managed this season for some reason," said Laws.
"It was like chalk and cheese, we were unrecognisable. It is understandable that the fans are frustrated, as they just can't understand how a team can go from being so good one day to being so bad.
"Scunthorpe have got one of the best records away from home, so we knew not to take them lightly. We started the second half brighter, got many corners, but just couldn't deliver in the end.
"There were too many fundamental errors. The players are very quiet in the dressing room, as they know they have underperformed from top to bottom, and you can't win games like that.'"