  We explore the Casimir effect of a rough membrane within the framework of
theories that break Lorentz symmetry. We consider two constant Aether vectors:
one timelike and other spacelike, simultaneously. We employ an appropriate
change of coordinates such that the membrane assumes a completely flat border
and the remaining terms associated with the roughness are considered as part of
the potential. Quantum fluctuations are induced by a scalar quantum field
subject to Dirichlet boundary conditions. The spectrum is obtained through
perturbation theory and regularized using the $\zeta$--function method. We
provide an explicit example of a membrane with periodic boundaries. The
presence of Aether vectors has a significant impact on the dominant term of the
Casimir effect, while roughness only affects the secondary terms. Additionally,
we examine the finite-temperature case.
