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Here we briefly discuss the Einstein-Aether gravity theory by modification ofEinstein-Hilbert action. We find the modified Friedmann equations and then fromthe equations we find the effective density and pressure for Einstein-Aethergravity sector. These can be treated as dark energy provided some restrictionson the free function $F(K)$, where $K$ is proportional to $H^{2}$. Assuming twotypes of the power law solutions of the scale factor, we have reconstructed theunknown function $F(K)$ from HDE and NADE and their entropy-corrected versions(ECHDE and ECNADE). We also obtain the EoS parameter for Einstein-Aethergravity dark energy. For HDE and NADE, we have shown that the type I scalefactor generates the quintessence scenario only and type II scale factorgenerates phantom scenario. But for ECHDE and ECNADE, the both types of scalefactors can accommodate the transition from quintessence to phantom stagesi.e., phantom crossing is possible for entropy corrected terms of HDE and NADEmodels. Finally, we show that the models are classically unstable.

Reconstructing Einstein-Aether Gravity from Ordinary and Entropy-Corrected Holographic and New Agegraphic Dark Energy Models