  Very special relativity (VSR) keeps the main features of special relativity
but breaks rotational invariance due to an intrinsic preferred direction. We
study the VSR modified extended BRST and anti-BRST symmetry of the
Batalin-Vilkovisky (BV) actions corresponding to the $p=1,2,3$-form gauge
theories. Within VSR framework, we discuss the extended BRST invariant and
extended BRST and anti-BRST invariant superspace formulations for these BV
actions. Here we observe that the VSR modified extended BRST invariant BV
actions corresponding to the $p=1,2,3$-form gauge theories can be written
manifestly covariant manner in a superspace with one Grassmann coordinate.
Moreover, two Grassmann coordinates are required to describe the VSR modified
extended BRST and extended anti-BRST invariant BV actions in a superspace.
These results are consistent with the Lorentz invariant (special relativity)
formulation.
