What will the ISO 22301 certification auditor check?

Answer: The auditor will check all your documents (mandatory and non-mandatory), and if your activities comply with all those documents.

I am doing the question because I got a print screen of the list of document in a process of certification of a company ... for example there is documents such as: 7.5, 7.2, 5.1 that aren't mandatory.

Answer: The certification auditor must check not only all the documents you have for BCMS, but also if your activities have complied with all clauses 4 to 10 of ISO 22301. Therefore, even if you don't have documents for some clauses, the certification auditor will still check if you have complied with those clauses.

By the way, clause 7.2 says you must have documented information as evidence of your trainings.

I could to think that if don´t have mandatory document then I will have a major non conformities or not?

Answer: The auditor will raise major nonconformity: (1) if you don't have all the mandatory documents, (2) if your activities fail to comply with a complete clause of ISO 22301, and (3) if your activities fail to comply with a complete requirement from your own BCMS documentation.