Bernstein, who was awarded a CBE in the New Year Honours, accused managers of harassing officials and being overly critical of referees in their post-match comments.
But the LMA has issued a strong response, claiming Bernstein failed to communicate effectively with them during his time at the FA.
"The LMA would like to take this opportunity to respond on behalf of its members, to his comments criticising managers this week, which we believe are misguided, and unhelpful," read the LMA statement.
"It is particularly sad to find David Bernstein celebrating his CBE by engaging in a megaphone commentary from the side-lines, taking a unilateral swipe at managers, having wholly failed to engage, in any meaningful way, with the LMA and its members during his tenure as FA chairman.
"Any sensible organisation, such as The Football Association, that has the responsibility of leading a sport, should be anxious to engage with, and draw upon, a resource as significant as the pool of knowledge and expertise that exists within the ranks of the managers and coaches.
"Had he engaged with the LMA, his leadership would have been rather more effective and focused.
"Such a commentary is inflammatory, can only tend to bring the game into disrepute and further widens the gap between those that reputedly lead the game and those that find employment and build their careers within it.
"Some sense of perspective would assist: managers and coaches are under unique pressures working in a volatile profession.
"It is inevitable that we will always have, at times, emotional moments in a competitive arena where the stakes for both club and personal careers are so high.
"The LMA looks forward to an engaged and constructive dialogue with the new chairman of the FA, especially as David Bernstein failed to attend a single formal managers' meeting to discuss any such issues in the game or build any kind of meaningful relationship with our members."