She also stuck to her commitment that there would be no hard border with Ireland even after Britain leaves the European Union, effectively continuing the political deadlock over Brexit with 67 days to go until the March 29 departure deadline.
She said she would try to use a friend's phone to register, but said: "How many people can actually use this app?"
Meanwhile, The Sunday Times reported that plans to seek a bilateral treaty with the Irish government as a way to remove the contentious backstop arrangement.
"Her current deal is undeliverable", he said.
Mrs May will meet her cabinet after telling MPs on Monday that she was focused on altering the Irish backstop. So you want the European Union to be a bigger loser than the UK?
"That's one of the areas that we are going to be looking at".
Responding to the Prime Minister, he said there should be "no more phoney talks".
One of the most problematic areas of the divorce deal is the so-called backstop on the Irish border - a legal guarantee that the frontier would remain free-flowing if Britain and the European Union can not agree a long-term free trade pact.
It has become a major sticking point.
Shannon said he believed numerous 118 of May's own Conservative lawmakers who voted against her deal would also be willing to back it if the backstop had a time limit.
She also said she would conduct further talks on the Irish backstop plan, which is created to prevent the need for a visible border and customs checks between Northern Ireland and the Irish Republic. "It is a bit of a mystery to me what the British government wants to negotiate with Dublin or what sort of an additional agreement it should be", he told German television. "I have never even considered doing so - and neither would I".
Among the MPs' amendments are plans to prevent a no-deal Brexit and to extend the deadline for leaving the EU.
After May sets out her plans for the way ahead, lawmakers are set to table a series of amendments, to be voted upon on January 29.
The Labour leader said he would not take part until a no-deal Brexit was taken off the table, a position also taken by the SNP following an initial meeting between Mrs May and Westminster leader Ian Blackford.
Making a statement to MPs after her Brexit deal was voted down by a vast majority last week, the prime minister laid out what she described as the lessons from a week of talks with other parties.
The prime minister will then take the conclusions back to the EU. So can she be clear and explicit to the House: which of her red lines is she prepared to move on?
The Brexit deal between London and Brussels - overwhelmingly rejected last week by British MPs - contains a so-called backstop provision ensuring that if all else fails, the border will remain open.
But even in terms of the hard numbers, flipping the votes of the DUP and Brexiteers who objected to the backstop is unlikely to give the prime minister the majority she would need. "Is she seriously willing to accept a hard border?"
"It really does feel a bit like 'Groundhog Day, ' " Corbyn said. She added: "the truth is, nothing has changed".
Prime Minister Theresa May leaves Downing Street on Monday to attend parliament.
Then, there could be fireworks - MPs are planning to table amendments which would try to force May to stop Britain leaving the European Union without a deal, or delay the process. A charge of 65 pounds ($83) for adults and 32.50 pounds for children was announced as payable for applications under the EU Settlement Scheme for EU citizens. "Parliament remains in deadlock while the slope to a cliff edge steepens".
In a statement to the Commons, the PM also offered a guarantee that workers' rights and environmental safeguards would not be eroded as a result of Brexit. "Plan B is Plan A".