The PRISMA Statement (Preferred Reporting Items for Systematic Reviews and Meta-Analyses) includes an evidence-based minimum set of reporting items as well as a flow-chart to follow when reporting a systematic review or meta-analysis.
These two items on the checklist relate to the search process:
See Cochrane Handbook 6.6.1 Documenting the search strategy
In summary document
Tools for managing reviews: use bibliographic management software such as EndNote Web ,Mendeley or Zotero
Covidence is a web-based software platform that streamlines the production of systematic reviews, including Cochrane Reviews. The key steps in Cochrane Reviews supported by Covidence are: Citation screening. Full text review. Risk of Bias assessment. https://www.covidence.org/home
Pricing https://www.covidence.org/pricing