Evaluative reporting refers to the expression (written or verbal) of an opinion conforming to the logical approach to evidence evaluation.¹

In short:

Evaluative reporting is a formalised thought process that enables the evaluation of scientific findings given two opposing (or competing) propositions. It is a way of providing a strength of the findings of an examination given those alternative propositions.

Ballantyne, K., et al. (2017). An Introductory Guide to Evaluative Reporting, National Institute of Forensic Science Australia New Zealand

NIFS-AU download link:  https://www.anzpaa.org.au/ArticleDocuments/220/An%20Introductory%20Guide%20to%20Evaluative%20Reporting.PDF.aspx

Another useful reference is the ENFSI Guideline for Evaluative Reporting: Strengthening the Evaluation of Forensic Results across Europe (STEOFRAE) report. It states, in part:

Evaluative reporting evaluates the forensic findings in the light of at least one pair of propositions. It is based on a likelihood ratio and conforms to the principles of evaluation. Most of the time, evaluative reporting will follow from comparative examinations between material of unknown source and reference material from one or more potential source(s) and/or associated activities. An evaluative report is any forensic expert report containing an evaluative reporting section.

Willis, S. M., et al. (2015). ENFSI Guideline for Evaluative Reporting: Strengthening the Evaluation of Forensic Results across Europe (STEOFRAE), European Network of Forensic Science Institutes.

ENFSI download link: https://enfsi.eu/wp-content/uploads/2016/09/m1_guideline.pdf

1. There are various names for the same thing: ‘Evaluative reporting’, ‘logical approach to evidence evaluation’, ‘LR (or likelihood-ratio) approach’, etc. While these differ in certain aspects, they are all essentially equivalent in the end-product (and the terms are pretty much interchangeable.