  Bimetric gravity is an interesting alternative to standard GR given its
potential to provide a concrete theoretical framework for a ghost-free massive
gravity theory. Here we investigate a class of Bimetric gravity models for
their cosmological implications. We study the background expansion as well as
the growth of matter perturbations at linear and second order. We use
low-redshift observations from SnIa (Pantheon+ and SH0ES), Baryon Acoustic
Oscillations (BAO), the growth ($f\sigma_{8}$) measurements and the measurement
from Megamaser Cosmology Project to constrain the Bimetric model. We find that
the Bimetric models are consistent with the present data alongside the
$\Lambda$CDM model. We reconstructed the `` effective dark energy equation of
state" ($\omega_{de}$) and "Skewness" ($S_{3}$) parameters for the Bimetric
model from the observational constraints and show that the current low-redshift
data allow significant deviations in $\omega_{de}$ and $S_{3}$ parameters with
respect to the $\Lambda$CDM behaviour. We also look at the ISW effect via
galaxy-temperature correlations and find that the best fit Bimetric model
behaves similarly to $\Lambda$CDM in this regard.
