Proposing the motion, Richard Salter, from Somerset, said students at further education (FE) and sixth-form colleges were being discriminated against.
The paper will be presented to MPs at a reception to mark the launch of an all-party parliamentary group for sixth-form colleges.
Further Education Minister John Hayes told MPs plans to shake up further education (FE) and sixth-form colleges' regulation would give them more freedom.
On top of this, says the paper, sixth-form colleges have been hit hard by cuts, while the government has offered preferential funding to academies and free schools with sixth forms.
The FSM funding anomaly has also been taken up by the Association of Colleges (AOC), which is running a campaign to extend free lunches to students at FE and sixth-form colleges.
It also calls on the government to create a mechanism for sixth-form colleges to grow and to "promote the sector in the same way that academies and free schools are actively promoted by government".
Report author Steven Jones found that although the students in the study all had the same A-level grades, 70% of those who were from independent schools went on to "a leading university" but just 50% of applicants from comprehensives and sixth-form colleges did so.
"It makes little sense for the government to be actively promoting the establishment of new sixth-form providers that are not only demonstrably less efficient than sixth-form colleges, but also have little or no educational track record", said David Igoe, of the Sixth Form Colleges Association.
"Unless we make the system sufficiently nimble to respond to dynamic demand it will not be fit for purpose, " Mr Hayes said, explaining that the proposals would get rid of "a raft of unnecessary and prescriptive duties" and "strip away central controls over further education and sixth-form colleges in respect of their governance and dissolution arrangements".
We are in the worst-funded part of the education world and sixth form colleges in particular suffer other educational inequalities.
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Sixth form and further education colleges are usually in main towns - and if students are not on the route of buses, they will depend on lifts to bus stops.
Sixth form colleges already provide a similar variety for students doing some A-levels and some GCSEs at the same time.
The Sixth Form Colleges' Forum said it was concerned about a reduction in Entitlement Funding which pays for extra-curricular activities.
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