  The first measurement on temperature of hydrogen 21-cm signal reported by
EDGES strongly favors Coulomb-like interaction between freeze-in dark matter
and baryon fluid. We investigate such dark matter both in one- and
two-component context, with the light force carrier(s) essential for the
Coulomb-like interaction not being photon. Using a conversion of cross sections
used by relevant experiments and Boltzmann equations to encode effects of the
dark matter-baryon interaction, we show that both cases are robustly excluded
by the stringent stellar cooling bounds in the sub-GeV dark matter mass range.
The exclusion of one-component case applies to simplified freeze-in dark matter
with the light force carrier as dark photon, gauged $B-L$,
$L_{e}-L_{\mu}$,$L_{e}-L_{\tau}$ or axion-like particle, while the exclusion of
two-component case applies to simplified freeze-in dark matter with the two
light force carriers as two axion-like particles coupled to standard model
quarks and leptons respectively.
