"We found substantial evidence that the two groups worked to a common plan, did not declare their joint working and did not adhere to the legal spending limits".
Sir Nicholas Soames said British democracy was once one of the country's "great glories", but said the findings of the Electoral Commission with regards to Vote Leave were "gross".
Matheson said Johnson and Gove, as well as other ministers or ex-ministers involved in Vote Leave such as Priti Patel and Chris Grayling, should "come to the house and explain their role in both the initial scandal and the cover-up".
The allegations centre around a £680,000 donation Vote Leave made to the youth-focused campaign group BeLeave.More news: Mobile Introduces $5/Day International Pass With 512MB of LTE Data
Christopher Wylie, a Cambridge Analytica whistleblower, alleged that pro-Brexit groups worked together to get around campaign finance rules by using the services of Aggregate IQ.
"The Electoral Commission's report contains a number of false accusations and incorrect assertions that are wholly inaccurate and do not stand up to scrutiny", a spokesman for Vote Leave said in a statement.
"Our findings relate primarily to the organisation which put itself forward as fit to be the designated campaigner for the 'leave" outcome'.
The Electoral Commission published the conclusions of its investigation into the campaign spending of Vote Leave and found "significant evidence" of coordination with another campaign group, BeLeave.More news: Thai cave boys to leave hospital and speak to media
Vote Leave was fined 61,000 pounds ($80,100).
The report said BeLeave, which was founded by fashion student Darren Grimes, spent more than £675,000 with AggregateIQ, a Canadian digital political advertising company, under a "common plan" with Vote Leave.
Mr Grimes has been fined £20,000 and referred to the Metropolitan Police "in relation to false declarations of campaign spending". "Consequences must follow. We can not have confidence that this referendum was secure, and it should be re-run", she said. I did nothing wrong. "Its validity is now in question", said Labour lawmaker David Lammy.More news: Mafi arrested for assaulting Rebels teammate
The SNP has previously been more equivocal on the issue of whether to back a second Brexit vote, although First Minister Nicola Sturgeon told The New Statesmen in October 2017 that the prospect may become "irresesistable" if the United Kingdom were faced with a no-deal scenario. The senior backbencher Sarah Wollaston called for the referendum vote to be held again. She added, to jeers from some MPs: "The point is this: we need to be able to say to the public that are watching this debate, that we are getting on with delivering the result of the referendum in which they voted".
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