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By the thermofield dynamics (TFD) formalism we obtain the energy-momentumtensor for the Electromagnetism with Lorentz Breaking Even term of the StandardModel Extended (SME) Sector in a topology $S^{1}\times S^{1}\times R^{2}$. Wecarry out the compactification by a generalized TFD-Bogoliubov transformationthat is used to define a renormalized energy-momentum tensor, and the Casimirenergy and pressure at finite temperature are then derived. A comparativeanalysis with the electromagnetic case is developed, and we remark theinfluence of the background in the traditional Casimir effect.

Casimir Effect at finite temperature for the CPT-even extension of QED