Evolutionary process engineering describes the development of business processes over time with the objective of increasing quality and performance, in order to meet – among other things – accreditation requirements. Maturity models like the business process maturity model support quality management and are perceived as convenient measurement for this evolution. In this paper, the authors follow up the investigation of how much technical support for process execution is adequate in dependency of specific maturity stages and which implementation (e.g., system-controlled approach like workflow management system or human-controlled approach like checklist) complies best with the respective quality requirements.