The current acceleration of the universe is one of the most important issues to explain in cosmology today. The most widely accepted model is the ΛCDM model in general relativity, but this model also has several unresolved issues. Thus, a lot of research is expended in looking at models in modified gravity theories that can solve some of these unresolved problems. In this work, we examine a Friedmann–Lemaitre–Robertson–Walker cosmological model in f(R,G, T ) gravity, where R is the Ricci scalar, G is the Gauss–Bonnet invariant, and T is the trace of the energy momentum tensor. We assume a particular form of the deceleration parameter and apply observational constraints on the model. The Cosmic Chronometer and Pantheon datasets are used in a Markov Chain Monte Carlo (MCMC) study to ascertain the model’s parameters. A viable model that satisfies observational limitations and shows a shift from deceleration to acceleration is produced. Analysis and illustrations are provided for several cosmographic characteristics, including the deceleration, jerk, and state-finder parameters. A comparison with the conventional ΛCDM model is made. Lastly, the equation of state and energy conditions are covered. We learn more about the dynamics and evolution of the universe by examining this model.