On the one hand, if you emphasize your role and achievements in the project and the skills and experience accumulated in the project when writing your resume, it will make the recruiter pay more attention to your actual ability and experience, not just your work background. At the same time, if the outsourcing company has a large scale, good industry background and outstanding performance, it can also highlight the professional and practical value of the project you are engaged in. In this case, there is no need to indicate the outsourcing company on your resume.
On the other hand, if you are worried that the background check may be affected when writing your resume, or want to know whether you can pass the background check, you can choose to list only the name of the sending company and the position you hold when writing your resume, without indicating the specific outsourcing company. The purpose of this is to minimize the trouble caused by background checks.
Generally speaking, you can decide whether to indicate the outsourcing company on your resume according to the specific situation. In case of doubt or uncertainty, it is recommended to communicate with HR of outsourcing companies and dispatching companies in advance to understand their specific operation processes and information scope, so as to make more informed decisions.