The above text indicates that some considerable confusion exists regarding the meaning of GFSI, Certification, Food Safety Standards.
I suggest you urgently need to discuss yr requirements with a Consultant or study some relevant documentation.
Here is a brief, simplified, introduction to this topic -
BRC, SQF, etc are Private Food Safety Standards developed by different Groups in a variety of Geographical locations. They operate independently of Government Organisations like USDA/FDA although any existing local Regulatory Rules will take precedence in the event of a "difference" in specific safety-related requirements.
GFSI is another Private Organisation which proposes (generic) Benchmarks so as to promote a Uniform set of requirements for Private Food Safety Standards. Their requirements are published and freely available.
GFSI itself does not certify any individual Food Safety Standards or Manufacturing Facilities. GFSI does not issue Certification documentation.
GFSI does recognise individual FS Standards which comply with its benchmarks, eg BRC, SQF.
Accredited, Private Certification Boards (CBs) which maintain/supervise individual GFSI recognised Standards such as BRC, SQF do certify (based on audits) that individual Manufacturing Facilities are compliant with the relevant, GFSI-recognised, FS Standard, And issue Certificates for satisfactory audits.
The content of FS Standards basically relates to implementing/achieving 2 main functions - Food Safety(FS) and Management System(MS).
FS portion is typically based on HACCP methodology, eg as developed by Codex, NACMCF, or ISO.
MS portion is typically based on ISO methodology, eg as developed in iso9001
The HACCP methodology requires initial implementation of so-called Prerequisite programs which, for BRC/SQF, are (mostly) typically designated/integrated as a Group known as GMP (Good Manufacturing Practices).
GFSI recognised, FS Standards, eg BRC, SQF are effectively stand-alone systems as far as the audit is concerned however they have differences in audit Staging Procedures and Evaluation methods. It is also possible to arrange a preliminary (trial) audit for BRC solely for yr own information.
BRC/SQF FS Standards have a detailed Section explaining their associated audit/certification processes. You should download a (free) copy and have a look at the content.