  We reconstruct Barrow Holographic Dark Energy (BHDE) within the framework of
Saez-Ballester Scalar Tensor Theory. As a specific background, we consider a
homogeneous and anisotropic Kantowski-Sachs Universe filled up with BHDE and
dark matter. By assuming the Hubble radius as an IR cutoff, we investigate both
the cases of non-interacting and interacting dark energy scenarios. We analyze
the evolutionary behavior of various model parameters, such as skewness
parameter, Equation-of-State parameter, deceleration parameter, jerk parameter
and squared sound speed. We also draw the trajectories of $\omega_D-\omega'_D$
phase plane and examine statefinder diagnosis. Observational consistency is
discussed by inferring the current value of Hubble's parameter through the best
fit curve of data points from Differential Age (DA) and Baryon Acoustic
Oscillations (BAO) and commenting on cosmological perturbations and growth rate
of matter fluctuations in BHDE. We show that our model satisfactorily retraces
the history of the Universe, thus providing a potential candidate explanation
for dark energy. Comparison with other reconstructions of BHDE is finally
analyzed.
