Bury's Sky Bet League One match against MK Dons on Saturday has been suspended, but Bolton's league opener will go ahead, the EFL has announced.
The Shakers' opener against MK Dons was suspended after the club failed to satisfy the EFL that they have the necessary finances in place.
The EFL also says Bury will face a disciplinary committee for failing to fulfil a fixture, and the club's second fixture, away at Accrington Stanley the following Saturday, is already under threat if suitable proof cannot be produced by noon on Friday.
However, Bolton's League One match against Wycombe will go ahead on Saturday after the EFL declared itself satisfied about their financial position.
Both clubs had been given until 5pm on Monday to provide the necessary information to show they had the finances to be able to fulfil league requirements.
An EFL statement read: "Following continued and comprehensive discussions with the ownership at Bury and other interested parties throughout Monday, the EFL board is not satisfied it has received the necessary evidence in regard to the outstanding information it requires that demonstrates how the club will be funded moving forwards.
"As a result of not meeting Monday's 5pm deadline, which had been extended on two previous occasions, the EFL board feels it has been placed in an unenviable position and, regrettably, has opted to take the reluctant decision to suspend
Saturday's opening day fixture with MK Dons under the provision of EFL Regulation 28.2.
"In addition, the EFL board, if not in possession of the necessary evidence by 12pm on Friday 2 August 2019, will make a determination as to whether to suspend Bury's away fixture at Accrington Stanley on Saturday 10 August 2019."
MK Dons released a statement of their own in response to the postponement of their season opener, expressing their disappointment while raising concerns over the impact on the rest of the season.
"MK Dons are hugely disappointed that our opening day fixture against Bury has been suspended," the statement read.
"The club's preparations for the new season have been meticulously geared towards the 3 August start date and this potential disruption to our planning, through no fault of our own, is most unwelcome.
"That said, we understand that this is both a serious and complex situation and our overriding concern has to be for everyone at Bury Football Club and their supporters.
"In the meantime, the club has made representations to the EFL concerning the potential impact on both future fixture congestion and sequencing of away games.
"We have also outlined our concerns on behalf of supporters who may have booked travel or accommodation and who may not be able to recover all their costs."
On Bolton's situation the EFL, said: "At its meeting today, the EFL board was appraised of the position in regard to the outstanding information requested in respect of ongoing matters at Bolton.
"The board has fully considered the club's further submissions and is satisfied that they are sufficient to meet the requirements of the league subject to the completion of formal documentation.
"As a result the EFL board has opted not to suspend their opening day fixture with Wycombe Wanderers and it will remain as originally scheduled on Saturday 3 August 2019 at 3pm. "
Bolton's scheduled friendly match at Chester on Friday was called off after the players issued a statement claiming they have been put under "severe mental and emotional stress".
Members of the Wanderers squad say they and the coaching staff have not been paid for 20 weeks, while they returned to pre-season to find their training facilities locked up.