  We consider a dynamic scenario for characterizing the late Universe
evolution, aiming to mitigate the Hubble tension. Specifically, we consider a
metric $f(R)$ gravity in the Jordan frame which is implemented to the dynamics
of a flat isotropic Universe. This cosmological model incorporates a matter
creation process, due to the time variation of the cosmological gravitational
field. We model particle creation by representing the isotropic Universe
(specifically, a given fiducial volume) as an open thermodynamic system. The
resulting dynamical model involves four unknowns: the Hubble parameter, the
non-minimally coupled scalar field, its potential, and the energy density of
the matter component. We impose suitable conditions to derive a closed system
for these functions of the redshift. In this model, the vacuum energy density
of the present Universe is determined by the scalar field potential, in line
with the modified gravity scenario. Hence, we construct a viable model,
determining the form of the $f(R)$ theory a posteriori and appropriately
constraining the phenomenological parameters of the matter creation process to
eliminate tachyon modes. Finally, by analyzing the allowed parameter space, we
demonstrate that the Planck evolution of the Hubble parameter can be reconciled
with the late Universe dynamics, thus alleviating the Hubble tension.
