My goal in conducting the research was to show real links between innovation and knowledge management (knowledge & technology output index) within a quality management approach worldwide in a response to the pandemic and the post-pandemic period. This is because innovation, knowledge, and technology output are becoming important questions related to quality and quality management issues, currently being discussed with increasing interest in a broader perspective from the worldwide audience. They are also part of factors of production theories and enterprise theories too. The research methodology was (1) collecting data and information on the innovation index and knowledge management (knowledge & technology output index) worldwide, (2) describing the newly introduced ISO 56000 family of standards (ISO standards for innovation) and the newly introduced ISO family of standards (ISO standards for knowledge). The method of the research was (1) dealing with descriptive statistics for innovation index and knowledge & technology output and handing (2) correlation and regression analysis (inferential statistics) for relationships between innovation index and knowledge & technology output. This procedure resulted in the main outcome of this research that the relationships between innovation and knowledge & technology output, statistically verified, are strong. Saying this, the general application of ISO standards and specifically, the ISO 56000 family of standards are necessary to achieve a competitive advantage. The key recommendation of the research is that the application of ISO standards and the application of the ISO 56000 family of standards help companies to strengthen their commitment to their customers, improve outcomes of innovation and knowledge & technology output activities, improve processes and procedures and economies around the world to gain a competitive advantage in response to the crisis and post-crisis.