We have theoretically investigated the Andreev reflection induced
conductance spectra through antiferromagnet/normal layer/superconductor
junctions with hexagonal lattices. When the PT symmetry is broken by the staggered sublattice potential, antiferromagnet may exhibit spin polarization. Equal-spin Andreev reflection can be generated by the
spin-flip scattering caused by Rashba spin-orbit coupling in the
normal layer. A gap-edge conductance peak is usually shown, reflecting the characteristic of conventional Andreev reflection. Surprisingly, when the equal-spin Andreev reflection process dominates, the conductance peak divides into two peaks near the singlet-gap energy, indicating the existence of spin-triplet pairings in the antiferromagnet. Furthermore, as the amplitudes of the
conventional and equal-spin Andreev reflections can be modulated 
by the staggered sublattice potential and electrostatic potential,
a conversion from the conductance peak to the conductance peak
splitting can be realized, which can help us 
to distinguish between the spin-singlet and 
spin-triplet pairings. These findings make the
antiferromagnet/superconductor junctions as promising platforms for
future superconducting spintronics applications.