Morecambe boss Jim Bentley admitted his side had not been good enough defensively after they lost 3-2 at in-form Burton on Tuesday.
Burton midfielder Jacques Maghoma put the hosts ahead in the 17th minute of the League Two clash at the Pirelli Stadium before a Billy Kee brace put the hosts out of sight.
Jack Redshaw pulled one back from the penalty spot 10 minutes from time before Holroyd rifled home Morecambe's second goal in added time, but it was ultimately too little, too late.
Bentley said: "You've got to give Burton credit because they're scoring goals and winning games, but we played into their hands at times.
"Defensively we weren't great and we certainly didn't cover ourselves in glory in that respect.
"We had chances but I'm disappointed at the way their goals came.
"The first one coming as early as it did wobbled us. Our keeper (Barry Roche) kept us in it but then we conceded another bad goal right on half-time, and I was really disappointed with the third soon soon after half-time.
"We changed things around and got ourselves back in it. It's just a pity the game didn't last five minutes longer because I think we might have got a point out of it."