Ulster Unionist Tom Elliott has also called on Martin McGuinness to help bring the Warrington bombers to justice.
The former party leader said it “beggars belief” that the Sinn Fein MLA would accuse others of exploiting victims for political gain.
“He needs to recognise that it was the organisation in which he was a commander – the IRA – which made it its mission to fill coffins and create grieving families in the pursuit of a political objective,” Mr Elliott said.
“If Martin McGuinness really believes it was ‘shameful’ and is serious about showing leadership, he should call on the individuals who planned and planted the no-warning bombs in Warrington to hand themselves over and accept their punishment. This would show if Sinn Fein are serious about dealing with the past.”
UKIP NI chairman Henry Reilly said his party didn’t believe Martin McGuinness “was in any position to preach” on the subject of peace and reconciliation.
“Not until he has fully resolved the outstanding issues in Northern Ireland and been made accountable for his past,” he said.