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We consider a scenario of modified gravity, which is generic to late-timeacceleration, namely, acceleration in the Jordan frame and no acceleration inthe Einstein frame. The possibility is realized by assuming an interactionbetween dark matter and the baryonic component in the Einstein frame which isremoved by going to the Jordan frame using a disformal transformation givingrise to an exotic effective fluid responsible for causing phantom crossing atlate times. In this scenario, past evolution is not distinguished from$\Lambda$CDM but late time dynamics is generically different due to thepresence of phantom crossing that causes a monotonous increase in the expansionrate giving rise to distinctive late-time cosmic feature. The latter can play acrucial role in addressing the tension between the observed value of Hubbleparameter by CMB (Cosmic Microwave Background) measurements and the localobservations. We demonstrate that the Hubble tension significantly reduces inthe scenario under consideration for the chosen scale factor parametrizations.The estimated age of the universe in the model is well within the observationalbounds in the low and high red-shift regimes.

Late time acceleration due to generic modification of gravity and Hubble tension