The matter–antimatter asymmetry through baryogenesis (and generalized baryogenesis interaction) mechanism for well-known models of $f(R,\mathcal{G})$ gravity (where $R,\mathcal{G}$ represent the Ricci scalar curvature and Gauss–Bonnet topological invariant) and $f(\mathcal{G},T)$ ($T$ denotes the trace of the energy momentum tensor) is being examined. This mechanism is based on the charge-parity (CP) violating interaction between the derivative of the Ricci scalar curvature and the baryon matter current, proposed by Davoudiasl et al. (2004). It is found that baryon to entropy ratio for $f(\mathcal{G},T)$ gravity (specific models: $f(\mathcal{G},T)=\delta {\mathcal{G}}^m+\lambda T$ and $f(\mathcal{G},T)=\delta {\mathcal{G}}^m+T+ϵT^2$), lies in the range $6.5_{-2.5}^{+2.5}\times 10^{-11}$ and $4_{-5}^{+5}\times 10^{-11}$. For $f(R,\mathcal{G})$ ($f(R,\mathcal{G})=k_{1}R+k_2{R}^n{G}^m$ and $f(R,\mathcal{G})=f_{0}R+f_1\sqrt{\mathcal{G}}$) models, we also obtain the values of baryon to entropy ratio which are very close to observational data $9\times 10^{-11}$. It is also mentioned here that results of general form of baryogenesis are also consistent with observational bounds for three models of modified theories of gravity.

通过重生（和广义重生相互作用）机理的物质-反物质不对称性 $F（\mathrm{[R}，\mathcal{G}）$ 重力（其中 $\mathrm{[R}，\mathcal{G}$ 表示Ricci标量曲率和Gauss-Bonnet拓扑不变量），并且 $F（\mathcal{G}，Ť）$ （$Ť$表示正在检查的能量动量张量的轨迹。这种机理是基于Davoudiasl等人提出的电荷奇偶校验（CP）违反里奇标量曲率导数和重子物质流之间的相互作用。（2004）。发现重子与熵之比为$F（\mathcal{G}，Ť）$ 重力（特定型号： $F（\mathcal{G}，Ť）=\delta {\mathcal{G}}^{米}+\lambda Ť$ 和 $F（\mathcal{G}，Ť）=\delta {\mathcal{G}}^{米}+Ť+ϵ{Ť}^{\mathrm{2个}}$），位于范围内 $6。5_{-\mathrm{2个}。5}^{+\mathrm{2个}。5}\times \mathrm{1个}{0}^{-11}$ 和 $4_{-5}^{+5}\times \mathrm{1个}{0}^{-11}$。为了$F（\mathrm{[R}，\mathcal{G}）$ （$F（\mathrm{[R}，\mathcal{G}）={ķ}_{\mathrm{1个}}\mathrm{[R}+{ķ}_{\mathrm{2个}}{\mathrm{[R}}^{ñ}{G}^{米}$ 和 $F（\mathrm{[R}，\mathcal{G}）=F_0\mathrm{[R}+F_{\mathrm{1个}}\sqrt{\mathcal{G}}$）模型，我们还获得了非常接近观测数据的重子与熵之比的值 $9\times \mathrm{1个}{0}^{-11}$。这里还提到，重整的一般形式的结果也与三种修正的重力理论模型的观测范围一致。