  In this paper, we reconstruct various solutions for the accelerated universe
in the Einstein-Aether theory of gravity. For this purpose, we obtain the
effective density and pressure for Einstein-Aether theory. We reconstruct the
Einstein-Aether models by comparing its energy density with various newly
proposed holographic dark energy models such as Tsallis, R$\acute{e}$nyi and
Sharma-Mittal. For this reconstruction, we use two forms of scale factor,
power-law and exponential forms. The cosmological analysis of underlying
scenario has been done by exploring different cosmological parameters. This
includes equation of state parameter, squared speed of sound and evolutionary
equation of state parameter via graphical representation. We obtain some
favorable results for some values of model parameters.
