Motivated by new baryon acoustic oscillation (BAO) data and the significant results recently published by the DESI DR2 Collaboration, this study presents a Markov chain Monte Carlo analysis of all currently viable $f(R)$ models using this new dataset and compares its constraining power with that of previous BAO compilations. A corresponding Bayesian model comparison is then carried out. The results reveal, for the first time, very strong statistical evidence in favor of $f(R)$ models over the standard $\mathrm{\Lambda }\mathrm{CDM}$ scenario. The analysis also incorporates data from cosmic chronometers and the latest $\mathrm{Pantheon}++\mathrm{SH}0\mathrm{ES}$ supernovae compilation.

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• Cosmological parameters