  A Kerr-Sen-like black hole solution results from Einstein-bumblebee gravity.
It contains a Lorentz violating (LV) parameter that enters when the bumblebee
field receives vacuum expectation value through a spontaneously breaking of the
symmetry of the classical action. The geometrical structure concerning the
singularity of this spacetime is studied with reference to the parameters
involved in the Kerr-Sen-like metric. We introduce this Einstein-bumblebee
modified gravity to probe the role of spontaneous Lorentz violation on the
superradiance scattering phenomena and the instability associated with it. We
observe that for the low-frequency range of the scalar wave the superradiance
scattering gets enhanced when the Lorentz-violating parameter $\ell$ takes the
negative values and it reduces when values of $\ell$ are positive. The study of
the black hole bomb issue reveals that for the negative values of $\ell$, the
parameter space of the scalar field instability increase prominently, however,
for its positive values, it shows a considerable reduction. We also tried to
put constraints on the parameters contained in the Kerr-Sen-like black hole by
comparing the deformation of the shadow produced by the black hole parameters
with the observed deviation from circularity and the angular deviation from the
$M87*$ data.
