We theoretically study the extreme ultraviolet (XUV) photoemission of the asymmetric molecular ion HeH^{2+} beyond the dipole approximation. Based on the double-slit interference of the photoelectron emitted from two atomic cores. we propose a scheme to obtain the XUV photoemission time delays originated from different physical mechanisms. In our study. https://herbsdailyes.shop/product-category/caddies/