In my view pragmatics does generally NOT govern and ensure the correct use of language because it primarily has to do with the practical application of the language and practical can of course include and Favour the descriptive approach over the prescriptive
I am not sure "govern" is the absolute correct term, but many who follow more Functionally-based frameworks would suggest that Pragmatic considerations are certainly important in shaping utterances. Functional Discourse Grammar (FDG), for instance, is a top-down theoretical framework which begins with Pragmatics and proceeds through Semantics, Morpho-syntax and Phonology (and all their interactions) in reaching a phonetic realization. You could check out some basic readings on FDG at https://fdg.humanities.uva.nl/Home_index.asp.
Doubtless others can suggest additional resources in other frameworks.