In this work we present a brief discussion about modified and extended cosmological models using current observational tests. We show that according to these astrophysical samples based in late universe measurements, theories like $f(R)$ and $f(T,B)$ can provide useful interpretation to a dynamical dark energy. At this stage, precision cosmostatistics has also become a well-motivated endeavour by itself to test gravitational physics at cosmic scales and these analyses can be employed to test the viability and future constrains over specific cosmological models of these theories of gravity, making them a good approach to propose an alternative path from the standard $\Lambda$CDM scenario.

中文翻译：

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修正和扩展引力理论中的精确宇宙学：一个有见地的测试

在这项工作中，我们使用当前的观测测试简要讨论了修改和扩展的宇宙学模型。我们表明，根据这些基于晚期宇宙测量的天体物理样本，诸如 $f(R)$ 和 $f(T,B)$ 等理论可以为动态暗能量提供有用的解释。在这个阶段，精密宇宙统计学本身也已成为在宇宙尺度上测试引力物理的一种积极的尝试，这些分析可用于测试这些引力理论的特定宇宙学模型的可行性和未来约束，使其成为一个很好的选择。从标准 $\Lambda$CDM 场景提出替代路径的方法。