The paper presents late time cosmology in $f(Q,T)$ gravity where the dark energy is purely geometric in nature. We start by employing a well motivated $f(Q,T)$ gravity model, $f(Q,T)=m{Q}^n+bT$ where $m,n$ and $b$ are model parameters. Additionally we also assume the universe to be dominated by pressure-less matter which yields a power law type scale factor of the form $a\left(t\right)=c_2{(At+c_1)}^{\frac{1}{A}}$, where $A=\frac{3(8\pi +b)}{n(16\pi +3b)}$ and $c_1\&c_2$ are just integration constants. To investigate the cosmological viability of the model, constraints on the model parameters were imposed from the updated 57 points of Hubble data sets and 580 points of union 2.1 compilation supernovae data sets. We have thoroughly investigated the nature of geometrical dark energy mimicked by the parametrization of $f(Q,T)=m{Q}^n+bT$ with the assistance of statefinder diagnostic in $\{s,r\}$ and $\{q,r\}$ planes and also performed the $Om$ -diagnostic analysis. The present analysis makes it clear-cut that $f(Q,T)$ gravity can be promising in addressing the current cosmic acceleration and therefore a suitable alternative to the dark energy problem. Further studies in other cosmological areas are therefore encouraging to further investigate the viability of $f(Q,T)$ gravity.

本文介绍了晚间宇宙学 $F（问，Ť）$暗能量在本质上纯粹是几何的重力。我们首先要有上进心$F（问，Ť）$ 引力模型 $F（问，Ť）=米{问}^{ñ}+bŤ$ 哪里 $米，ñ$ 和 $b$是模型参数。此外，我们还假设宇宙将由无压物质控制，从而产生以下形式的幂律类型比例因子$\mathrm{一种}（Ť）=C_2{（\mathrm{一种}Ť+C_{\mathrm{1个}}）}^{\frac{\mathrm{1个}}{\mathrm{一种}}}$，在哪里 $\mathrm{一种}=\frac{3（8\pi +b）}{ñ（16\pi +3b）}$ 和 $C_{\mathrm{1个}}和C_2$只是积分常数。为了研究模型的宇宙学可行性，从更新的57个哈勃数据集和580个联合2.1编译超新星数据集中强加了对模型参数的约束。我们已经彻底研究了通过参数化模拟的几何暗能量的性质$F（问，Ť）=米{问}^{ñ}+bŤ$ 在statefinder诊断的帮助下 $\{s，\mathrm{[R}\}$ 和 $\{q，\mathrm{[R}\}$ 飞机，还执行了 $Ø米$-诊断分析。本分析清楚地表明$F（问，Ť）$引力在解决当前的宇宙加速度方面可能很有前途，因此可以替代暗能量问题。因此，鼓励在其他宇宙学领域进行进一步研究，以进一步调查天体的生存能力。$F（问，Ť）$ 重力。