Recently LHCb predicted spin 1 and spin 3 states $D_{s1}^{⁎}\left(2860\right)$ and $D_{s3}^{⁎}\left(2860\right)$ which are studied through their strong decays and are assigned to fit the $1^3{D}_1$ and $1^3{D}_3$ states in the charm spectroscopy. In this paper, using the heavy quark effective theory, we state that assigning $D_{s1}^{⁎}\left(2860\right)$ as the mixing of $1^3{D}_1-2^3{S}_1$ states is rather a better justification to its observed experimental values than a pure state. We study its decay modes variation with hadronic coupling constant $g_{xh}$ and the mixing angle $\theta$. We appoint spin 3 state $D_{s3}^{⁎}\left(2860\right)$ as the missing $1D{3}^{-}{J}^P$ state and also study its decay channel behavior with coupling constant $g_{yh}$. To appreciate the above results, we check the variation of decay modes for their spin partners states, that is, $1D_2$ and $1D_2^{\prime }$, with their masses and strong coupling constant, that is, $g_{xh}$ and $g_{yh}$. Our calculation using HQET approach gives mixing angle of the $1^3{D}_1-2^3{S}_1$ state for $D_{s1}^{⁎}\left(2860\right)$ to lie in the range ($-1.6$ radians $\le \theta \le -1.2$ radians). Our calculation for coupling constant values gives $g_{xh}$ to lie within value range of $0.17\text{–}0.20$ and $g_{yh}$ to be 0.40. We expect from experiments to observe this mixing angle to verify our results.