"We never got going," Sky Sports News quotes McCoist as saying. "I thought from Alloa's point of view they were spot on, they killed the game at every opportunity.
"That said, we have to do something about that and we didn't. Our tempo was nothing like high enough for any of the game. We had to do something about it but we didn't.
"The whole thing was a little bit flat - we couldn't get any tempo. There were a lot of things that caused that but we didn't help ourselves."
Rangers, who are currently second in the Scottish Championship table, return to action a week on Monday when they host Hibernian.