Geoghegan was criticised for being a founding member of Renua, formed by Lucinda Creighton after she had been expelled from the Fine Gael parliamentary party when she voted against the Protection of Life During Pregnancy Bill 2013, which had permitted abortion under certain limited circumstances; Geoghegan said he disagrees with Creighton's "social views on abortion", "I certainly don't share any of the social views that I suppose that party subsequently became associated with", that he voted in favour of the repeal of the Eighth Amendment of the Constitution permitting the Oireachtas to legislate for abortion, and in favour of the Thirty-fourth Amendment of the Constitution which legalised same-sex marriage.