Fine Gael has called for the Taoiseach to make disclosure as to what groups or individuals lobbied him prior to the appointment of the new Cabinet.
The party has also called for a moratorium on the appointment of people to State boards, or semi-state bodies in the period between the calling of an election and creation of a new government following that election.
New leader Mr Enda Kenny said he believed comments the Taoiseach made recently in respect of the cabinet appointments indicated lobby groups had successfully influenced him in changing his mind on several appointments.
Of particular concern, Mr Kenny said, was the decision to include Mr Joe Walsh as Minister for Agriculture, Food and Rural Development and Mr Michael Smith as Minister for Defence in the Cabinet.