By Gareth Roberts
Clarets striker Steven Fletcher was twice on the end of illegal challenges in the home side's penalty area but referee Martin Atkinson gave nothing to leave the Lancashire side without an away win in the Premier League this season.
A fuming Coyle also slammed his side's shoddy defending which he admitted had contributed to Burnley's defeat.
"We've lost two very, very poor goals," he told Sky Sports News.
"I thought our defending for both goals was of a very, very poor standard.
"I felt we should've had one, possibly two penalties in the second half.
"They looked clear and I'm 60 yards away, but they weren't given.
"I can understand why the referee's missed it, but I think that's what your linesmen are there for.
"We certainly didn't get any breaks today, but we defended poorly for both goals and that's disappointing."
Burnley trailed 1-0 at half-time and came out all guns blazing after the break and Coyle felt his side were wasteful in attack.
"We went all out to get back in the game, created numerous opportunities and never took them," he added.
"But Fletcher was dragged to the ground twice and one of them certainly looked a stonewall penalty."