  Majorana fermions (MFs) in a topological superconductor exhibit anisotropic
electromagnetic responses, called Majorana multipole responses, when MFs are
degenerate under time-reversal and crystalline symmetries. In time-reversal
symmetric systems, the Majorana multipole response relates to Cooper pair
symmetry in the underlying superconducting material, which provides a way to
identify pairing symmetries through surface-spin-sensitive measurements. Here,
we extend the concept of Majorana multipole response to systems with magnetic
point group symmetry that break time-reversal symmetry and clarify how the
response of MFs includes information about underlying superconductors. From a
topological classification of symmetry-protected MFs and an effective surface
theory, we classify possible magnetic and electric responses for MFs, which
manifests a direct connection to Cooper pair symmetry for a symmetry-enforced
pair of MFs. Additionally, we find several time-reversal-even higher-order
multipole responses, such as the quadrupole response, which are forbidden in
time-reversal symmetric systems, whereby indicating breaking of time-reversal
symmetry. The theory is applied to the odd-parity chiral superconductor UTe$_2$
and the ferromagnetic superconductor UCoGe, demonstrating the appearance of a
magnetic quadrupole response on a surface.
