We present updated constraints on modified gravity by including the integrated Sachs-Wolfe (ISW) effect from cosmic microwave background (CMB) lensing-CMB temperature cross-correlations, based on the latest Planck PR4 maps. Utilizing the effective field theory (EFT) of dark energy approach and adopting the $w_0{w}_a\mathrm{C}\mathrm{D}\mathrm{M}$ background cosmological model, we find that including the CMB ISW-lensing cross-correlations tightens constraints on the modified gravity parameters by approximately 20%, reducing the viable parameter space by 40–80%. We derive constraints from Planck CMB, Planck and Atacama Cosmology Telescope CMB lensing, Dark Energy Spectroscopic Instrument Data Release 1 (DR1) BAO, CMB ISW-lensing, and type Ia supernovae data. The constraints on the EFT parameters controlling the kinetic braiding and nonminimal coupling are consistent with general relativity (GR) at the 95% C.L. In particular, we obtain a bound on the kinetic braiding parameter, $c_B<1.2$, at the 95% C.L. In the $w_0–w_a$ parameter space, our results imply a crossing of the phantom divide, $w=-1$. The modified gravity model shows a mild preference over $\mathrm{\Lambda }\mathrm{CDM}$ at the $1.8\sigma$, $2.6\sigma$, and $3.2\sigma$ levels for the combinations with Pantheon+, Union3, and DESY5 supernova datasets. We find that using the latest hillipop+lollipop likelihoods alleviates the departure of modified gravity parameters from the GR values compared to results using Planck 2018 data. This paper underlines the importance of the ISW-lensing probe in constraining late-time modifications of gravity.

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• Astrophysical studies of gravity
• Baryon acoustic oscillations
• Cosmological parameters
• Dark energy