  We investigate the magnetotransport properties of a two-dimensional electron
gas with anisotropic k-cubic Rashba interaction at the
$\rm{LaAlO_3}$/$\rm{SrTiO_3}$ interface. The Landau levels and density of
states of the system as well as the magnetotransport coefficients are
evaluated. A somehow anomalous beating pattern in low magnetic field regime is
found both in the density profile and magnetoresistivity. We discuss the impact
of electron density, Landau level broadening and Rashba spin-orbit constant on
the appearance of the beatings in low magnetic fields and find that at low
electron concentrations and not very strong spin-orbit interactions the
beatings smooth out. On the other hand, as the magnetic field increases, the
Zeeman term becomes the dominant splitting mechanism leading to the spin-split
peaks in SdH oscillations. We also show that the observation of the beatings in
low magnetic fields needs a system with rather higher carrier concentration so
that the beatings persist up to sufficiently large fields where the
oscillations are not smoothed out by Landau level broadening. The quantum Hall
plateaus are evaluated and we show the Chern number with both even and odd
values is replaced by the odd numbers when two subband energies are close with
spin degenerate energy levels. Along with the numerical evaluation of the
magnetotransport properties, a perturbative calculation is also performed which
can be used in the case of low densities and not very large filling factors.
