Based on the research results, it can be concluded that the ISO / IEC 27034 standard regulates that vulnerability testing should be carried out, but it is not specified how and what should be tested for vulnerabilities, but how and what is not described. NIST and NIAP both refer to OWASP MASVS and contain controls by which the mobile application is tested, mainly focusing on vulnerabilities that relate to vulnerabilities in data storage and authorization. This is confirmed by statistics provided by Digital Security. The most recognized is MASVS. One of the parts of MASVS describes what, how and how to test.
It should be noted that all standards rather weakly assess vulnerabilities that relate to interaction with the API. As can be seen from the tests described in Section 2.2, the most critical vulnerabilities are vulnerabilities that are associated with interaction with the application server.