I don't know the answer myself, yet one possible way could be developing post-audit checklist for auditors and auditee seeking to understand what went well during the audit, areas of improvement, lessons learned, etc.
Good day
@Armen, nothing wrong with that but not sure how that will show that the management system is effective and internal/external requirements have been met. In addition, every checksheet that is created and committed to will add an additional layer of effort and documentation that then needs sustained
Top management have ultimate responsibility for the effectiveness of the management system. (Top Management's job to assign the direction and resources to fix it...not the auditor's responsibility)
The internal audit is to simply
provide information. (ISO 19011Guidelines for auditing management systems is NOT necessary for you to procure but you may find it helpful).
The results of audits are a required input into management reviews. If I were Top Management in your organization I would want to understand ..
* summaries of the type of nonconformances found
* what are the categories of repeat nonconformances if any.
* things gone right/things gone wrong (general summary) of the audit process
You can show evidence / examples of how audit non-conformance findings are being manifested into corrective actions and/or continual improvement.
One idea is to "tick"/identify the corrective action requests and/or the continuous improvement activities that were initiated as result of internal audit findings. Corrective actions should be reviewed for effectiveness. If resultant corrective actions and/ or continuous improvement activities, were effective, then your internal audits were obviously effective.
Don't overthink it.
Hope this helps.
Be well