  Recently, a new doubly charged tetraquark $T^{a}_{c\bar{s}0}(2900)^{++}$ and
its neutral partner $T^{a}_{c\bar{s}0}(2900)^0$ at the invariant mass spectrum
of $\pi{}D_s$ were observed by the LHCb Collaboration. According to its
properties, such as the mass and decay width, the
$T^{a}_{c\bar{s}0}(2900)^{++/0}$ have been suggested to be a compact
multi-quark state or a hadron molecule. In order to distinguish the various
interpretations of the $T^{a}_{c\bar{s}0}(2900)^{++/0}$, we investigate the
possibility to study the $\bar{T}^{a}_{c\bar{s}0}(2900)$ [the antiparticle of
$T^{a}_{c\bar{s}0}(2900)$] by kaon-induced reactions on a proton target in an
effective Lagrangian approach. The production mechanism is characterized by the
$t$-channel $D$ meson exchange. Our theoretical approach is based on the
assumption that $\bar{T}^{a}_{c\bar{s}0}(2900)$ can be either a
$K^{*}D^{*}-D_s^{*}\rho$ molecule or a compact tetraquark state. Using the
coupling constants of the $\bar{T}^{a}_{c\bar{s}0}(2900)$ to $KD$ channel
obtained from molecule or compact tetraquark picture of the
$\bar{T}^{a}_{c\bar{s}0}(2900)$, we compute the cross-sections for the process
$K^{-}n\to{}\bar{T}^{a}_{c\bar{s}0}(2900)^{--}\Lambda^{+}_c$. The $\bar{K}N$
initial state interaction mediated by Pomeron and Reggeon exchanges is also
included, which reduces the production of the $\bar{T}^{a}_{c\bar{s}0}(2900)$.
Our calculations show that whether $\bar{T}^{a}_{c\bar{s}0}(2900)$ is a
molecule or a compact tetraquark state, the cross-sections for the
$K^{-}n\to{}\bar{T}^{a}_{c\bar{s}0}(2900)^{--}\Lambda^{+}_c$ reaction are of
similar magnitude, ranging from approximately 0.075 nb to 0.270 nb.
