The study of new probes for analyzing modified gravity simulations of the large-scale structure of the Universe. Modified gravity (MG) theories of the type of f(R) gravity can explain the accelerated expansion of the Universe without invoking the cosmological constant. Such models require introducing a new scalar field that naturally predicts rich gravitational effects in a different way from general relativity (GR). These modifications lead to changes in the environment of large-scale structures that could be used to distinguish this model from GR. The goal of this project is to provide critical tools to study modified gravity, and help to answer the key scientific question: Does modified gravity successfully explain the accelerated expansion of the Universe?