It came as Mrs May's "inner cabinet" was briefed last night on plans for a no-deal Brexit amid reports that progress ahead of a crucial European Union summit next week had been slower than hoped.
Arlene Foster, the DUP leader, said on Thursday afternoon that the prime minister could not "in good conscience" recommend such a deal and vowed to oppose it.
Asked by the BBC to offer her backing to Mrs May's plan, Ms McVey sidestepped the questions.
Rogers, who quit his post previous year, said both May's plan, which would keep Britain in the European Union single market for goods, and rival Boris Johnson's vision of a looser free-trade deal have "precisely zero" chance of being accepted by the bloc.
The work and pensions secretary said she was "fully, 100% behind the prime minister" without endorsing her proposal for future trade with the EU.
She added that the plan for checks on goods was "a one-way turnstile, which could restrict trade from Great Britain to Northern Ireland" and said it was "the worst of one world".
The prime minister's refusal to bow to pressure from senior ministers to put a strict time frame in place now looks likely to spark a raft of resignations.
The Irish backstop measure, created to ensure no new border emerges between Ireland and Northern Ireland, is supposed to be temporary until a UK-EU trade deal can be agreed, and Theresa May pledged earlier this year that the arrangement would expire "at the very latest by the end of December 2021".
Cabinet ministers including trade secretary Liam Fox, environment secretary Michael Gove, Brexit secretary Dominic Raab, and foreign secretary Jeremy Hunt have reportedly expressed concerns.
On Wednesday it was revealed that the DUP was prepared to vote against the Budget on 29 October - which could threaten the future of the government - if there are any new barriers between Northern Ireland and the rest of the United Kingdom as a result of Brexit.
As May prepared to update key Cabinet ministers on progress toward a deal, Ivan Rogers said that, more than two years after voting to leave the EU, Britain is "on fantasy island" about what kind of divorce agreement is possible.
And in a vote on the Agriculture Bill, it did not back the Conservatives in what DUP sources said was a "warning shot" for the government.
International Development Secretary Penny Mordaunt and the Leader of the Commons Andrea Leadsom also said to have "deep concerns".
The plan would also involve keeping Northern Ireland in the single market to help maintain frictionless trade across the border with the Republic while mainland Britain would be outwith the single market.
September exports rose 14.5 percent from a year earlier, the fastest pace since February, the customs data showed. The officials said United States nuclear exports to China amounted to $170 million in 2017.
A red flag, warning of unsafe conditions, is seen on a pier in advance of Hurricane Michael in Pensacola, Florida, U.S. Preparations to protect life and property should be rushed to completion. "The storm surge is absolutely deadly".
Paco Alcacer scored twice, with Sergio Ramos and Marc Bartra also scoring for the visitors, and Sam Vokes heading in for Wales . Wales were without star player Gareth Bale as they slipped to a 4-1 defeat at home to Spain in Thursday's friendly.
Mr Morrison - a devout Christian - previously said he wanted to take a "proactive approach" to protecting religious freedom. Veteran Liberal MP Philip Ruddock chaired the panel, which delivered its findings to the Federal Government in May.
If the keeper was disappointed to let in Bolt's first strike, the second goal was embarrassing for him and his centre-back. Meanwhile, bookmakers Coral have made Bolt 20-1 to play in the Premier League one day.
Recent data from the Ghana Health Service has revealed that about 41 percent of Ghanaians have some form of psychological illness. While the UK's move was welcomed, critics blamed shortfalls affecting mental health services on the government's austerity drive.
I'm still not fully sold on the live-action aspect, but if anyone has the budget to pull it off, it's surely Disney . Unfortunately, Will Smith doesn't appear as the Genie at all in this trailer, but no doubt we'll get to see him soon.
This, however, would raise the prospect of increased regulation checks between Northern Ireland and the rest of the UK. This date is the end of the transition period negotiated by the United Kingdom as part of the divorce deal with the EU.
Drone footage shows seaside town demolished by Hurricane Michael
ET Friday, the storm is moving northeast across the Atlantic Ocean and was about 185 miles east-northeast of Norfolk, Virginia . The US national guard has reached the town, dubbed " ground zero ", and found 20 people who survived a direct hit from Michael.
Fortnite 's Android version is no longer invite-only
And once you've got it installed, you can sync your account so you keep the progress you've made on other platforms. Now, the door is open for anyone to play by visiting Fortnite .com/android and downloading the game.
Wildlife ranger killed by crocodile in northern Australia
EARLIER: A FEMALE ranger has been taken by a crocodile in front of stunned onlookers in a remote region of the Northern Territory. A FEMALE Aboriginal Ranger has been taken by a crocodile in East Arnhem Land today, NT Worksafe has been notified.
Women-only racing championship aims to find F1 stars
Coulthard said, however, that women tended to reach a "glass ceiling" at Formula Three level, often due to a lack of funding . In the first season, there will be 18-20 drivers will which will be behind the wheel of a Tatuus T-318 Formula 3 race auto .
Climate change responsible for depression, anxiety
Likewise, natural disasters, such as major hurricanes or flooding incidents, leads to a four percent jump in mental-crisis risk. A five year warming of the climate by 1 degree Celsius was associated with a 2 percent rise in mental health problems.
Ryan Coogler to Write and Direct ‘Black Panther 2’
It is unknown if " Black Panther 2 " will now become his primary focus if he will still tries to squeeze that smaller film in. The Hollywood Reporter's sources claim Disney and Marvel's plan is to begin production in late 2019 or early 2020.