There has been further unrest in political circles, with a number of politicians unhappy at being snubbed for junior ministries.
Taoiseach Micheál Martin made the appointments throughout the day on Wednesday.
For Fine Gael there are promotions for Martin Heydon, Colm Brophy, Peter Burke and Frankie Feighan.
Patrick O'Donovan and Damien English are retained as Junior Ministers - while Josepha Madigan gets a role after being demoted from Cabinet.
The Fianna Fáil appointments sought to address some of the regional imbalance of Cabinet.
Waterford's Mary Butler, Galway's Anne Rabbitte, Donegal's Charlie McConalogue and Limerick's Niall Collins all get ministries.
— Anne Rabbitte TD (@AnneRabbitte) July 1, 2020
Jack Chambers and Thomas Byrne have been promoted, as has Robert Troy.
The Green Party has appointed Carlow-Kilkenny TD Malcolm Noonan, alongside Dublin TDs Joe O'Brien and Ossian Smyth.
But there has been sharp criticism of Mr Martin from TD Michael Moynihan, who served as Fianna Fáil whip in the last Dáil.
He said the Taoiseach has insulted him and the entire community of north-west Cork by passing him over for a role.
While high-profile TDs Jim O'Callaghan, Joe McHugh and John Paul Phelan all turned down offers of junior ministries.
Deputy O'Callaghan said he turned down the offer because his energies and abilities would be better spent on the backbenches.
He said he now aims to devote more time to strengthening the party while colleagues have their eyes on ministerial duty.
Meanwhile, it is believed Deputy McHugh was offered his choice of a range junior ministries - but turned them down when it became clear he could not have a post in European Affairs or Tourism.
Reporting from Seán Defoe