  We examine the processes of the luminescence in subordinate lines of muonic
hydrogen $ \mu p $ and muonic helium ion $ (\mu ^4\mathrm{He})^{+} $ in the
presence of background source of X-ray emission. It is supposed that a certain
amount of muonic atoms existing in the vicinity of astrophysical source reemits
absorbed radiation in the subordinate lines. The intensity of luminescence of
such a process is proportional to the quantum yield which was calculated for
different pumping channels and different models of spectra. It is shown that
the luminescent lines of muonic hydrogen and muonic helium ion can be very
noticeable in the spectrum of background source.
