  In this work we demonstrate that a distorted double hump like missing energy
($\slashed{E}$) or missing transverse momentum ($\slashed{E}_T$) or missing
mass ($\slashed{M}$) distribution at $e^+e^-$ colliders may hint towards the
presence of multipartite dark sector. We illustrate the phenomena using a two
component dark matter (DM) model involving an inert scalar doublet stabilised
under a $\mathcal{Z}_2$ symmetry providing a scalar DM, one vector like fermion
doublet and a right handed fermion singlet both stabilised under a different
$\mathcal{Z}^{'}_2$ providing a fermion DM. We indicate the region of parameter
space where the production of the heavy charged particles and their subsequent
decay to DM yield double peak behaviour in $\slashed{E}$ spectrum after
satisfying DM constraints. Importantly, we illustrate why and how $\slashed{E}$
serves as a better variable than $\slashed{E}_T$ in distinguishing two
component DM frameworks and therefore how International Linear Collider (ILC)
does better than the ongoing Large Hadron Collider (LHC). We also chalk out a
set of criteria to identify and segregate the second peak in $\slashed{E}$
spectrum, after a careful analysis of the corresponding Standard Model (SM)
background contribution, which plays a crucial role.
