The English Votes for English Laws (EVEL) process only applies to bills introduced by the Government. It doesn’t apply to Private Members’ Bills.
The Speaker decides, before second reading, whether a bill, or particular clauses and schedules, meet the two tests for certification under EVEL. After report stage, the Speaker reconsiders the certification of any bill that’s been amended. The Speaker decides whether the amendments that have been made need to be certified, and whether they change the certification of the bill.
Bills certified under the EVEL process go through first reading, second reading, committee stage and report stage in the same way as other bills. Committee stage is slightly different if a whole bill affects only England. After report stage, all certified bills need to go to a Legislative Grand Committee. There are two more stages that a certified bill could go through before third reading. They are reconsideration and consequential consideration. So far, no bill has been required to go through these stages. They’re only needed if a Legislative Grand Committee doesn’t give the consent required. Once the necessary stages are complete, the bill receives a third reading in the same way as other bills.
If MPs consider Lords amendments to a bill, the Speaker must also examine the motions relating to them to see whether they need to be certified.