In this paper we present a novel conceptual model that systematizes the integrated management and adaptation of: (1) enterprise models, (2) their representations, (3) their underlying meta-models (i.e. their abstract syntax) and (4) the representation rules (i.e. concrete syntax for the respective models). All this for different modelling languages and also different versions of these languages. Thanks to our original use of the adaptive object model and type square patterns—normally applied in the context of software engineering, but here applied for enterprise engineering—we manage to provide a strong conceptual foundation for the development of software tools that allow a precise and coherent specification of models and their evolution and also of meta-models and their evolution. We also present a prototype of such a tool currently being developed to enable collaborative enterprise ontology model management using the Semantic MediaWiki as a base framework. This solution is solidly grounded on the theoretical foundations of organizational self-awareness and Ψ-theory of enterprise ontology and is a valuable contribution to facilitate general and distributed enterprise model management and also concrete and abstract syntax specification (i.e. the specification of a language's meta-model). This allows flexibility and ease of use in creation and adaptation of organizational models and also the use of semantic queries to detect and inform users on any violation of meta-model rules.