Germany, France and Britain have their own seats on the board, while European Union members Belgium, the Netherlands, Spain, Italy and Denmark represent constituencies of countries.
Most MPs supported remain, but most represent constituencies that voted leave.
MPs representing constituencies across the whole of the UK will continue to decide the UK's budget, including income tax.
Fourteen of the scrutiny body's 25 seats are for members representing constituencies - sometime called "super constituencies" - comprising two or three of London's local authority areas.
Because of the way that congressional districts are drawn, many politicians represent constituencies with large numbers of ethnic minorities or hardly any at all.
Without such boundary reforms, MPs could end up representing constituencies based on data that is over 20 years old, disregarding significant changes in demographics, house building and migration.
The communities secretary, Eric Pickles, and former shadow minister Bernard Jenkin - both of whom also represent constituencies in the county - are also in favour.
But it added: "MPs representing constituencies across the whole of the UK will continue to decide the UK's budget, including income tax".
Westerners ruefully note that since 1968 Canada has spent 36 years under prime ministers who come from Quebec, or represent constituencies in Quebec, and a mere 15 months under prime ministers from the west.
The Conservative plan, known as Evel, would ensure that decisions affecting England alone or England and Wales can only be taken with the consent of the majority of MPs representing constituencies in those parts of the UK.
