Former Labour frontbencher Ms Maskell stated Parliament wasn’t just for those who voted Brexit and that it was time to “move forward together”.
But the presenters took issue with the former Shadow Secretary of Environment, Food and Rural Affairs' stance on the UK’s divorce from the EU.
Nearly 50 MPs defied Jeremy Corbyn and the party's three-line whip which had called for MPs to support the passage of the Article 50 bill.
Speaking on Good Morning Britain, Ms Maskell, who resigned from the shadow cabinet after voting against the bill, said: “Let’s get real about this. The country is divided down the middle at the moment and what’s really important is that we move forward together.
Rachael Maskell called for the country to "move forward together"
We can’t just be a Parliament for 52 per cent of the country
“It is representing the voices out there, we can’t just be a Parliament for 52 per cent of the country, which is what the Government want to do.”
But Reid jumped in and said: “But voting against it is not moving forward together is it?’
Her co-host, Shephard also cut in, adding: “It is the majority though isn’t it. It’s a slim majority but it’s still the majority.”
Fighting her corner, the backbencher said Parliament needed to reflect the whole country and not just the 52 per cent of voters who were in favour of Brexit.
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The MP for York Central said: “But we’ve got 100 per cent of people living in our country that are obviously concerned about their future and what’s really important is that Parliament reflects that. Reflects the diversity of different parts of our country.
“If you look at the way that vote split, I represent a university city, we’re post-industrial in parts, we’ve got other industries coming through, cities of a similar demographic voted exactly the same way.
“We’ve got to be able to find a way through in Parliament and what we’re doing with the referendum, we’ve got one democratic process clashing with another democratic process and therefore we’ve got to find a way through that finds that voice for everybody.”
REMOANERS: These people hate BREXIT! Mon, January 16, 2017
Remainers are finding it hard to accept Brexit.
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A total of 114 MPs votes against the Government’s bill to trigger Article 50 and start the procedure to leave the EU.
In total, 47 Labour MPs rebelled against Jeremy Corbyn's three line whip to vote in favour of the bill, 50 SNP members voted to frustrate the bill, seven Liberal Democrats, including Nick Clegg and Tim Farron and one Conservative, Ken Clarke.
The European Union Notification of Withdrawal Bill was passed by 498 votes to 114, meaning 38 MPs abstained.
This vote means Theresa May will formally begin Britain's EU exit by March 31, 2017.
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