Chirality-dependent dispersion forces, such as the van der Waals (vdW) forces, the Casimir-Polder (CP) forces and the Casimir effects have been theoretically predicted with a growing attention towards their experimental detection. Talbot-Lau setup consisting of nanomechanical gratings is particularly sensitive to CP forces in the non-retarded regime where chiral effects can be comparable in magnitude to their electric and magnetic counterparts. We show requirements for probing chiral CP effects in matter-wave interferometry in the transmission signal and the interference fringe visibility.