Background check (BGC) is a generic term for criminality, security and information sharing.
It's common for applicants to receive a request for
IMM5669 Schedule A Background/Declaration form at this stage to ensure that there are no gaps in their personal history and/or for IRCC to reconfirm the information submitted. On MyCIC account if the Background Check status changes from "in progress" to "not applicable" then most likely criminality has passed.
On MyCIC account Background Check will change twice for most applicants. First it will change in the initial few weeks, and then go back to "Not Applicable" and later in the process again change to, "We are processing your background check. We will send you a message if we need more information." This happens because criminality check and security check are both a part of background check, and when these checks happen, the status changes. It will continue to be in progress the second time until you receive the COPR.
Review of eligibility:
To make the process efficient eligibility review takes place in 2 stages, first a case analyst, a program assistant or a case processing agent will review the application and make a recommendation. Then an officer (decision making authority) will review it and make a final determination. eligibility is only passed when an officer conclusively marks the eligibility as "passed".
Usually, before the end of Review of eligibility stage Medicals and Criminality are also passed. At this stage some applicant's also receive a request to pay the RPRF fees if it has not been paid upfront. If an applicant receives a request for the RPRF fee then it usually means that eligibility is recommended passed or passed. On MyCIC account review of eligibility will continue to be in progress until you receive the Confirmation of Permanent Residence (COPR).