Since retiring as a cricketer, Vaughan has forged a successful career as a media pundit.
Following a nine-wicket defeat by Pakistan in the first Test at Lord's, Vaughan suggested in both his Daily Telegraph column and on BBC Radio that England should think about dropping either James Anderson or Broad — their two all-time leading bowlers in Test cricket, with more than 900 wickets between them.
Unsurprisingly, England ignored that bit of advice and the first day of the second Test at Headingley, where Vaughan made his name as a top-order batsman with Yorkshire, saw the veteran duo take three wickets each as Pakistan were dismissed for a meagre 174 after winning the toss.
At Friday's close, in a match they had to win to end the series all square, England were 106 for two — just 68 runs behind.
After stumps, Broad said he had contacted Vaughan about the remarks he made regarding England's display at Lord's.
"You get used to both positive and negative opinions, but sometimes I don't think it is justified," he said. "This time, it did anger me a little bit — because I thought it was a bit unfair, and a bit targeted really," Broad told reporters.
"So I called him and expressed my disappointment in his comments," added the 31-year-old Nottinghamshire paceman.
"I'm not going to hold a personal grudge if someone criticises me, particularly if I feel like I deserve it.
"I'm friends with Vaughany. He was a fantastic captain to me, gave me a great opportunity ... he's great company. But I just didn't feel like I really deserved that, so I thought I'd express that opinion to him."
However, Broad accepted Vaughan might be less than thrilled by his latest comments, saying: "I think I might have reignited a few things this evening, but I'm sure it will be fine come Monday."
England have lost six of their last eight Tests and Vaughan said the team needed freshening up if only to "ruffle feathers".
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