The junior Finance Minister Brian Hayes has said unions that do not accept the Haddington Road agreement will not avail of the terms of the deal when the Government enacts the legislation this summer.
Mr Hayes said the Coalition aims to have the new proposals brokered at the LRC in place by July 1.
The TUI and the ASTI have both said they will reject the Haddington agreement and have no plans to ballot their members on the proposals, which they say are too similar to those contained in Croke Park 2.
Minister Hayes said those unions will lose out: "This is a matter of negotiation, we now have a negotiation that has concluded, we now have an agreement.
"As Brendan Howlin said the other day, it is a matter for each union to come to an agreement with the Government on the LRC proposals.
"If they don't they don't, and the conditions won’t apply to them, and it's fair to say that their members will lose out as a consequence of that, but that's a matter for their members."