The Planck measurement of the cosmic microwave background (CMB) has established the $\mathrm{\Lambda }$ cold dark matter ($\mathrm{\Lambda }\mathrm{CDM}$) model as the concordant model along with other observations. However, recent measurements of baryon acoustic oscillations (BAO) from the Dark Energy Spectroscopic Instrument (DESI) have renewed the matter fraction ${\mathrm{\Omega }}_{\mathrm{m}}$ tension between Planck-$\mathrm{\Lambda }\mathrm{CDM}$ and DESI-$\mathrm{\Lambda }\mathrm{CDM}$. Directly reconciling this CMB-BAO tension with a dynamical dark energy in Chevallier-Polarski-Linder parametrization seems to imply a crossing of the equation of state (EOS) through $w=-1$ at low redshifts. In this paper, we resolve this ${\mathrm{\Omega }}_{\mathrm{m}}$ tension by allowing for the dark matter nonminimally coupled to gravity via a quintessence field. This nonminimal coupling is preferred over $3\sigma$ confidence level. Consequently, even though the usual effective EOS of the coupled quintessence apart from the standard CDM part never crosses but always is above $w=-1$, a misidentification with the $w_0{w}_a\mathrm{CDM}$ model would exactly fake such a crossing behavior, and the tensions on neutrino mass and growth rate in the $\mathrm{\Lambda }\mathrm{CDM}$ model are also relieved in our model as a result of the resolved ${\mathrm{\Omega }}_{\mathrm{m}}$ tension.

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• Baryon acoustic oscillations
• Cosmology
• Dark energy
• Dark matter
• Quantum gravity