  Recent astronomical observations show that the universe may be anisotropic on
large scales. The Union2 SnIa data hint that the universe has a preferred
direction. If such a cosmological privileged axis indeed exists, one has to
consider an anisotropic expanding Universe instead of the isotropic
cosmological model. In this paper, we present a detailed analysis of the dark
energy dipole in $f(R,T)=f_{1}(R)+f_{2}(T)$ Cosmological Model using three
types of dipole fit (DF) method which are (I)dipole + monopole fitting for
distance modulus(DMFDM), (II)dipole + monopole fitting for luminosity
distance(DMFLD) and (III) general dipole fitting for luminosity
distance(GDFLD). We have found the maximum anisotropic deviation direction for
(DMFDM) method as $(l, b)=(315^{+25}_{-25},-23^{+14}_{-15})$, for (DMFLD) as
$(l, b)=(l, b)=(315^{+35}_{-37},-23^{+18}_{-18})$, and for (GDFLD) method as
$(l, b)=(317^{+32}_{-32},-23^{+18}_{-18})$ which are located very close to each
other. We compare our model with the $CPL$, $\Lambda CDM$ and $\omega CDM$
models. Constraints on $(l, b)$ in $f(R, T)$ model are not much different from
the cases of the $CPL$, $\Lambda CDM$ and $\omega CDM$ models. Moreover, the
results are consistent with other studies.
