We study the effect of the interplay between parity-time (PT) symmetry and optical lattice (OL) potential on dynamics of quantum droplets (QDs) forming in a binary bosonic condensate trapped in a dual-core system. It is found that the stability of symmetric QDs in such non-Hermitian system depends critically on the competition of gain and loss γ, inter-core coupling κ, and OL potential. In the absence of OL potential, the PT-symmetric QDs are unstable against symmetry-breaking perturbations with the increase of the total condensate norm N, an...