In this paper, we considered the Tsallis holographic dark energy model in frames of Nojiri–Odintsov gravity with $f(R)=R+\lambda R^2-\sigma \mu /R$. For IR, cutoff event horizon is taken. The cosmological evolution of such universe is investigated for various initial conditions and values of parameters. The dependence of the Hubble parameter $H$ from time in the future has an oscillation. It is shown that for $\mu \ne 0$ appearance of singularities are typical and the time up to these singularities can be relatively small from cosmological viewpoint. The singularity is associated with the zero of second derivative of $f(R)$ on $R$. It is interesting to note that these models can describe observational data from Ia supernovae astrophysics and dependence of the Hubble parameter from redshift $z$ at least not worse than canonical $\mathrm{\Lambda }$CDM model.

在本文中，我们考虑了 Nojiri-Odintsov 引力框架中的 Tsallis 全息暗能量模型$F(R)=R+\lambda R^{\mathrm{2个}}-\sigma \mu /R$. 对于 IR，采用截止事件视界。对这种宇宙的宇宙演化进行了各种初始条件和参数值的研究。哈勃参数的依赖性$H$从未来的时间开始有一个振荡。结果表明，对于$\mu \ne 0$奇点的出现是典型的，从宇宙学的角度来看，到达这些奇点的时间可能相对较小。奇点与二阶导数的零点有关$F(R)$上$R$. 有趣的是，这些模型可以描述来自 Ia 超新星天体物理学的观测数据以及哈勃参数对红移的依赖性$z$至少不比规范差$\mathrm{\Lambda }$清洁发展机制模型。