Abstract
We study the reconstruction scenario of modified gravity with a dynamical dark-energy model filling the universe. In this context, we consider the Modified f(R) Horava-Lifshitz Gravity with a new agegraphic dark-energy model using the power-law form of the scale factor. We construct a modified f(R) Horava-Lifshitz model and check its behavior along its argument. To discuss the accelerated expansion of the universe, some cosmological parameters are discussed as well. The equation-of-state parameter represents the phantom behavior of the universe as well as the statefinder diagnostic pair gives the phantom and quintessence regions. Also, the stability analysis is carried out through squared speed of sound which points out the stable modified f(R) Horava-Lifshitz model except in a small time interval.
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