Some examples of reporting systems used for evidence syntheses include PRISMA, EQUATOR, and MOOSE. Note that reporting guidelines provide recommendations for reporting the different sections of an evidence synthesis review and should not be confused with methodology guidelines which provide details on how to conduct the review. 

PRISMA stands for Preferred Reporting Items for Systematic Reviews and Meta-Analyses.  It is an evidence-based minimum set of items for reporting in systematic reviews and meta-analyses focusing on randomized trials.  But PRISMA can also be used as a basis for reporting systematic reviews of other types of research, particularly evaluations of interventions.

EQUATOR stands for Enhancing the QUAlity of Transparency Of health Research. The international network provides a comprehensive list of reporting guidelines for different types of studies.

MOOSE stands for Meta-analysis Of Observational Studies in Epidemiology. The checklist contains specifications for reporting meta-analyses of observational studies in epidemiology.