I've chosen to rather than try to convert the Sumerian/Babylonian names of ingredients into assumed parallels leave them all in their native language. Identifying ancient ingredients is really hard (for many of the reasons given in the blog post). Most all, how can we sure than any of the descriptive adjectives (especially sensory observations) have modern equivalents that we can relate to. We know for instance that color words can differ quite a bit between languages, and that's thanks to living speakers who can show us what they mean by a certain word. How do we do that for long dead languages? For instance try explaining the scent of cedar wood without using the word cedar... and imagine all the culturally specific adjectives you'd have to use to approximate the smell.
To be sure, it's not a hopeless task. Some ancient names can be identify with modern parallels, but on the whole it's a very fraught task.