I just made the mistake of using "Auditory" in the context of auditing. For example:
"We need to include that information, for auditory purposes."
After I sent my e-mail, I was embarrassed to find out that "auditory" refers to hearing.
I'm not recommending the phrasing when I say 'auditorial' works in your example sentence:
We need to include that information, for auditorial purposes.
I'm sure there are better ways to put it, depending on context and intention. For example:
2. Of or pertaining to auditors of accounts; connected with an audit.
In your example, the purposes are connected with an audit.
As a Native North American English speaker I would say, "We need to include that information, for auditing purposes."
"Auditing" in this case is used as a present participle. "Audited" can be used as the past participle.
For example, "Our data is stored in audited databases." And, "E & Y reviewed the auditing logs."
In my experience this usage is common in the Eastern United States.