When AU publishes the product, it must clearly state how the product was produced, including who financed it, wrote it, quality assured it, commented on it, and contributed to it in general. The outside world must clearly be able to see that the project has been conducted independently of the external party. If press material is distributed, the same guidelines apply as for the product: Maintain your research integrity and do not let external parties tone the wording of the press material.
Filing all relevant documents should ensure that you and your colleagues are able to retrieve your material, and that AU is able to accommodate any requests for access to documents.
As a general rule, only AU researchers should be listed, so that it does not appear as if there was co-authorship with the external party. The external party's contribution must be clearly defined and must be clearly declared. This may be individual chapters, data basis, input for tables and other individual elements in the product. If there has been close collaboration throughout the entire process and the contributions cannot be separated clearly, the product must not be published by AU. Instead, it should be a peer-reviewed article
Contributions from project partners and intellectual contributions from others should be declared, recognised and cited in the text or under ‘Acknowledgements’ with a wording approved by the persons being acknowledged. This is often where the external party will be acknowledged in products published by AU.
You can get help from the department/DCA/DCE. The external party must not have any influence on press material that is distributed from AU. Joint press releases are possible, provided it is clearly stated it is a joint press release, and provided it is clear who is making statements about what.
As a researcher, you are entitled to make statements about everything. If others misinterpret the product, you have an obligation to draw attention to this, possibly with help from your department. With regard to freedom of speech, see the link to the guidelines on the topic from the Ministry of Justice (in Danish) under "Further questions".