A powerful Commons committee has ordered the Liberal Democrat cabinet member to update the official record.
Mr Moore's answers to questions by shadow Scottish Secretary Margaret Curran were "unsatisfactory", it ruled.
And it has said Mr Moore should publish an adequate answer in Hansard, parliament's official report. Labour accused the Scottish Secretary of trying to dodge questions about unemployment levels.
A spokesman for the party said: "For some time it's been clear Michael Moore doesn't want to answer questions about the consequences of his Government's failed economic policies; now we have it in black and white.
"Straight questions about the number of people who are unemployed in Scotland deserve straight answers.
"Hopefully we might start to get them now."
Ms Curran had asked Mr Moore how many people in Scotland have been unemployed for two years or more in each month since May 2010, when the Tory-Lib Dem Coalition came to power.
She had also inquired where any new jobs created between February and April 2013 were located and what proportion were part-time as well as full-time.
Last month, Conservative MP Charles Walker, who chairs the Commons Procedure Committee, wrote to Mr Moore upholding Mrs Curran's complaint that his initial answers had been unsatisfactory.
"We therefore request that you take immediate steps to answer these questions," he wrote. "You should also seek to publish them in Hansard."
Mr Moore issued a written ministerial statement giving the updated answers yesterday.
Why are you making commenting on The Herald only available to subscribers?
It should have been a safe space for informed debate, somewhere for readers to discuss issues around the biggest stories of the day, but all too often the below the line comments on most websites have become bogged down by off-topic discussions and abuse.
heraldscotland.com is tackling this problem by allowing only subscribers to comment.
We are doing this to improve the experience for our loyal readers and we believe it will reduce the ability of trolls and troublemakers, who occasionally find their way onto our site, to abuse our journalists and readers. We also hope it will help the comments section fulfil its promise as a part of Scotland's conversation with itself.
We are lucky at The Herald. We are read by an informed, educated readership who can add their knowledge and insights to our stories.
That is invaluable.
We are making the subscriber-only change to support our valued readers, who tell us they don't want the site cluttered up with irrelevant comments, untruths and abuse.
In the past, the journalist’s job was to collect and distribute information to the audience. Technology means that readers can shape a discussion. We look forward to hearing from you on heraldscotland.com
Comments & Moderation
Readers’ comments: You are personally liable for the content of any comments you upload to this website, so please act responsibly. We do not pre-moderate or monitor readers’ comments appearing on our websites, but we do post-moderate in response to complaints we receive or otherwise when a potential problem comes to our attention. You can make a complaint by using the ‘report this post’ link . We may then apply our discretion under the user terms to amend or delete comments.
Post moderation is undertaken full-time 9am-6pm on weekdays, and on a part-time basis outwith those hours.
Read the rules hereComments are closed on this article