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This is the second article in a series devoted to the study of the asymptoticexpansions of various quantum invariants related to the twist knots. In thisarticle, following the method and results in \cite{CZ23-1}, we present anasymptotic expansion formula for the colored Jones polynomial of twist knot$\mathcal{K}_p$ with $p\geq 6$ at the root of unity$e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{M}}}$ with $M\geq 2$. Furthermore, bytaking the limit $M\rightarrow +\infty$, we obtain an asymptotic expansionformula for the colored Jones polynomial of twist knots $\mathcal{K}_p$ with$p\geq 6$ at the root of unity $e^{\frac{2\pi\sqrt{-1}}{N}}$.

On the asymptotic expansions of various quantum invariants II: the  colored Jones polynomial of twist knots at the root of unity  $e^{\frac{2\pi\sqrt{-1}}{N+\frac{1}{M}}}$ and $e^{\frac{2\pi\sqrt{-1}}{N}}$