  In this paper, we study the effects of general relativistic corrections on
the observed galaxy power spectrum in thawing class of cubic Galileon model
with linear potential that preserves the shift symmetry. In this scenario, the
observed galaxy power spectrum differs from the standard matter power spectrum
mainly due to redshift space distortion (RSD) factor and relativistic effects.
The RSD term enhances the matter power spectrum both at larger and smaller
scales whereas the relativistic terms further enhance the matter power spectrum
only at larger scales. In comparison with $\Lambda$CDM, the observed galaxy
power spectrum is always suppressed at large scales in this scenario although
this suppression is always small compared to the canonical quintessence
scenario.
