The manuscript deals with the study of the FLRW universe together with domain walls and quark matter in f(R, T) gravity where R is the Ricci scalar and T is the trace of the energy momentum tensor. We choose \(f(R,T)=R+\alpha R^2+\lambda T\). Exact solutions are obtained under the assumptions: (1) a constant and variable deceleration parameter of the form \(q=m-1\) and \(q=-\frac{\alpha _3}{t^2}+\beta -1\), \(\alpha _3\ne 0\) and (2) an equation of the state of the form \(p_m=(\gamma -1)\rho _m\) and \(p_m=\frac{1}{3}(\rho _m-4B_c)\). The physical quantities involved in the cosmological models are obtained and analysed graphically. The solutions obtained here are most general which reduce to the solutions in general relativity, f(R, T) theory and higher derivative theory with suitable choices of the parameters.

该手稿研究了FLRW宇宙以及f（R，  T）重力下的畴壁和夸克物质，其中R是Ricci标量，T是能量动量张量的迹线。我们选择\（f（R，T）= R + \ alpha R ^ 2 + \ lambda T \）。在以下假设下获得精确解：（1）形式为\（q = m-1 \）和\（q =-\ frac {\ alpha _3} {t ^ 2} + \ beta的恒定和可变减速度参数-1 \），\（\ alpha _3 \ ne 0 \）和（2）状态形式为\（p_m =（\ gamma -1）\ rho _m \）和\（p_m = \ frac { 1} {3}（\ rho _m-4B_c）\）。宇宙模型中涉及的物理量已获得并以图形方式进行了分析。在此获得的溶液是最常用的，其减少在广义相对论的方案中，˚F（[R ，  Ť）理论和与所述参数的合适选择，高阶导数的理论。