Four dimensional FRW perfect fluid cosmological model is obtained in the frame of $f(R,T)$ theory of gravity, where $R$ is Ricci scalar and $T$ is the trace of the energy momentum tensor. The solutions of the field equations are obtained by taking the functional form $f(R,T)=f\left(R\right)+f\left(T\right)$, where $f\left(R\right)=R+\alpha R^2$ and $f\left(T\right)=\lambda T$ and scale factor as $a\left(t\right)=a_1{e}^{ct}{t}^b$ (hybrid scale factor) with $\alpha$, $\lambda$ as constants, $a_1>0$ and $b,c\ge 0$. The dynamical parameters namely deceleration parameter ($q$), Hubble parameter ($H$), volume ($V$) and expansion scalar ($\theta$) are obtained. In addition to these we have studied energy conditions thoroughly. Also we have plotted graphs of all these parameters and energy conditions with respect to redshift ($z$) and these values matches with the recent observational data.

四维FRW完美流体宇宙学模型在 $F(\mathrm{电阻},吨)$ 万有引力理论，其中 $\mathrm{电阻}$ 是 Ricci 标量并且 $吨$是能量动量张量的迹。场方程的解是通过采用函数形式获得的$F(\mathrm{电阻},吨)=F\left(\mathrm{电阻}\right)+F\left(吨\right)$， 在哪里 $F\left(\mathrm{电阻}\right)=\mathrm{电阻}+\alpha {\mathrm{电阻}}^2$ 和 $F\left(吨\right)=\lambda 吨$ 和比例因子为 $\mathrm{一种}\left(吨\right)={\mathrm{一种}}_1{\mathrm{电子}}^{C吨}{吨}^{乙}$ （混合比例因子）与 $\alpha$, $\lambda$ 作为常数， ${\mathrm{一种}}_1>0$ 和 $乙,C\ge 0$. 动力参数即减速参数（$q$), 哈勃参数 ($H$）， 体积 （$伏$) 和扩展标量 ($\theta$) 获得。除了这些，我们还彻底研究了能量条件。我们还绘制了所有这些参数和能量条件相对于红移的图表（$z$) 并且这些值与最近的观测数据相匹配。