A Government minister says Brian Stanley's comments raise wider questions about Sinn Féin's views on Ireland's past.
The Public Accounts Committee (PAC) chairman earlier this week apologised for a tweet that appeared to glorify an IRA attack on the British army during the War of Independence.
He said the tweet was "insensitive" and fell below the standards of the Dáil.
A second tweet then emerged that suggested the Laois-Offaly politician was commenting on Tánaiste Leo Varadkar's sexuality after he was elected leader of Fine Gael.
This tweet had 'homophobic inferences', according to the Taoiseach Micheál Martin - something Deputy Stanley denies.
The Sinn Féin TD has since deleted his social media accounts.
He is due to make a personal statement on the controversies in the Dáil on December 15th.
But Minister of State Thomas Byrne told Newstalk Breakfast with Susan Keogh that Sinn Féin also have questions to answer.
"There are a lot of other issues that Sinn Féin will have to address.
"And if they merely express views publicly that they certainly have privately, and they're trying to inculcate generally into society, much wider questions have to be asked of the Sinn Féin party about violence in the North from the '70s, '80s and '90s which killed so many innocent people.
"And any attempts to justify them, or to equate them to the Sinn Féin party of 1918, is completely wrong.
"They seem to claim that they're a continuous party from that period of independence - when in fact the facts state completely otherwise.
"This is a new organisation that started in the '70s in Belfast, and I think we need to call them out on that.
"And when they finally accept that, and accept that the IRA campaign was wrong, then people could start talking to them about going into government or about playing further roles in public life".