PurposeThe study aims to examine the impacts of management practices on innovation along with the mediating and moderating role of degree of competition, business environment and environmental policies.Design/methodology/approachData were derived from the World Bank Enterprise Survey 2019 for Greece, Italy, Turkey, Portugal and Jordan and analyzed by using PLS-SEM to find results.FindingsFindings revealed that management practices have positive significant relationship with the innovation among firms for Greece, Turkey, Portugal and Jordan but surprisingly insignificant relationship in Italy. Further, management practices have positive significant relationship with the environmental policies, business environment and degree of competition among firms in Greece, Italy, Turkey, Portugal and Jordan. In addition, environmental policies, business environment and degree of competition have positive significant relationship with innovation among firms in Greece, Italy, Turkey, Portugal and Jordan.Practical implicationsThese useful insights would enable practitioners and policy makers to develop and apply more influential management practices to boost up the level of innovation among firms.Originality/valueAlthough the topics of management practices and innovation have received a great concern of academia, but this is the first study that offers a comprehensive model of the relationship in these domains.