In this document, we introduce a novel formalism for any field theory and apply it to the effective field theories of large-scale structure. The new formalism is based on functors of actions com- posing those theories. This new formalism predicts the actionic fields. Furthermore, we discuss a generalised manifold with N-correlators of Nt- objects with or without contaminants. we discuss our findings in a cosmological gravitology framework. We present these results with a cosmo- logical inference approach and give guidelines on how we can choose the best candidate between those models with some latest understanding of model selection using Bayesian inference.