Following recent discoveries regarding the unique properties of chiral molecules which serve as spin filters and induce spontaneous magnetization, we investigated the effect of chiral molecules on singlet s-wave superconductors. Using scanning tunneling spectroscopy on thin Nb films coated with chiral polyalanine alpha-helix molecules we found evidence for the emergence of a triplet-pairing chiral p-wave superconducting component. Following these results, we performed Andreev spectroscopy measurements on thin NbSe₂ flakes exfoliated over Au electrodes before and after chiral molecules adsorption. Upon adsorption, the differential conductance spectra change their shape significantly, and in particular exhibit a narrow and pronounced zero bias conductance peak, which vanishes above T ~ 0.5T_C and parallel magnetic fields well below H_C2 of NbSe₂. These measurements provide further evidence for the emergence of unconventional superconducting order-parameter upon chiral molecule adsorption.  The accumulation of evidence for the ability of chiral molecules to alter the symmetry of conventional superconductors may open a novel way for realizing simple superconducting spintroinics devices.