The basic aim of this manuscript is to investigate the cosmological solutions in the context of the modified f(R, T) theory of gravity, where R is the Ricci scalar and T is the trace of the energy-momentum tensor. For our current work, we consider the Friedmann–Robertson–Walker spacetime for finding the solutions of field equations. We investigate the nature of universe by considering acceleration expansion of universe, ultra-relativistic universe, sub-relativistic universe, dust universe, radiation universe, stiff universe. Moreover, we apply the power law technique by taking two different f(R, T) gravity models to observe the expanding nature of the universe. The bouncing scenario is also discussed by choosing some particular values of the model parameters and observed the energy conditions, which are satisfied for a successful bouncing model. It is also concluded that some solutions in f(R, T) theory of gravity supports the concept of exotic matter and accelerated expansion of the universe due to a large amount of negative pressure.

本手稿的基本目的是研究修正的f ( R ,  T ) 引力理论背景下的宇宙学解，其中R是里奇标量，T是能量动量张量的迹。对于我们当前的工作，我们考虑使用弗里德曼-罗伯逊-沃克时空来寻找场方程的解。我们通过考虑宇宙加速膨胀、超相对论宇宙、亚相对论宇宙、尘埃宇宙、辐射宇宙、刚性宇宙来研究宇宙的本质。此外，我们应用幂律技术，通过采用两种不同的f ( R ,  T ) 引力模型来观察宇宙的膨胀性质。还通过选择模型参数的一些特定值并观察能量条件来讨论弹跳场景，这些能量条件满足成功的弹跳模型。还得出结论，引力理论中的一些解支持奇异物质和 宇宙因大量负压而加速膨胀的概念。