The GAA has called for "empirical evidence" to be presented to explain the Government's decision to ban all spectators from sporting events until at least 13 September.
Up until now 200 people were allowed be part of an outdoor sporting event, which meant that 50 to 120 GAA fans could attend matches.
A planned move to permit 500 people at events was delayed when cases of Covid-19 increased.
The surge in cases over the last two weeks has seen the government move to have no fans present at all.
"Following this evening’s unexpected announcement the GAA invites Dr Ronan Glynn and NPHET to present the empirical evidence which informed the requirement for the association to curtail its activities," a statement said.
"The association will tonight be issuing an invitation to Dr Glynn to meet with its Covid Advisory Group in this regard without delay. The GAA and its members remain at all times committed to protecting public health."
Offaly GAA chairman Michael Duignan described the new restrictions imposed on sporting events as a "big, big setback" and also called on the government to release any evidence they have that links the rate of infections to the crowds that have been attending club games in recent months.
"I'm a loss for words this evening, really disappointed again," Duignan said this evening.
"I'd just love to know where the evidence is coming from to support this. We obviously know we're in a pandemic, we've been through a lot over the last six months.
We've had no cases in Offaly that are linked to the GAA. I just wonder who is representing the GAA, who is representing the young people who've been badly hit with all these restrictions.
"I'm calling on the government to see the advice. I'd love to see the advice that links it (Covid cases) to GAA activity and the few people we've had at matches here.
The FAI meanwhile has confirmed that the SSE Airtricity League and Women's National League will continue behind closed doors
Adult Amateur and underage football will continue, subject to updated Government and FAI guidelines, with no spectators permitted at any match under the jurisdiction of the FAI.
Underage training groups must include two coaches and up to 13 players, while adult training groups must include one coach and up to 14 players.