  The kagome lattice has emerged as a promising platform for hosting
unconventional chiral charge order at high temperatures. Notably, in
LaRu$_{3}$Si$_{2}$, a room-temperature charge-ordered state with a propagation
vector of ($\frac{1}{4}$,~0,~0) has been recently identified. However,
understanding the interplay between this charge order and superconductivity,
particularly with respect to time-reversal-symmetry breaking, remains elusive.
In this study, we employ single crystal X-ray diffraction, magnetotransport,
and muon-spin rotation experiments to investigate the charge order and its
electronic and magnetic responses in LaRu$_{3}$Si$_{2}$ across a wide
temperature range down to the superconducting state. Our findings reveal the
emergence of a charge order with a propagation vector of ($\frac{1}{6}$,~0,~0)
below $T_{\rm CO,2}$ ${\simeq}$ 80 K, coexisting with the previously identified
room-temperature primary charge order ($\frac{1}{4}$,~0,~0). The primary
charge-ordered state exhibits zero magnetoresistance. In contrast, the
appearance of the secondary charge order at $T_{\rm CO,2}$ is accompanied by a
notable magnetoresistance response and a pronounced temperature-dependent Hall
effect, which experiences a sign reversal, switching from positive to negative
below $T^{*}$ ${\simeq}$ 35 K. Intriguingly, we observe an enhancement in the
internal field width sensed by the muon ensemble below $T^{*}$ ${\simeq}$ 35 K.
Moreover, the muon spin relaxation rate exhibits a substantial increase upon
the application of an external magnetic field below $T_{\rm CO,2}$ ${\simeq}$
80 K. Our results highlight the coexistence of two distinct types of charge
order in LaRu$_{3}$Si$_{2}$ within the correlated kagome lattice, namely a
non-magnetic charge order ($\frac{1}{4}$,~0,~0) below $T_{\rm co,1}$ ${\simeq}$
400 K and a time-reversal-symmetry-breaking charge order below $T_{\rm CO,2}$.
