I cannot go back and ask whoever came up with that hyphenation, but I can guess at their thought processes.
In your comment, you say
"The book says tech|nol¦ogy, tech|nolo¦gist, techno|logic¦al, techno|struc¦ture, techno|logic|al¦ly. Seems to me that there's more than 1 error."
Those are all correct. One of the general rules of hyphenation in English (occasionally broken when it conflicts with other rules of hyphenation) is that you cannot hyphenate after a short vowel in a stressed syllable.
The first "o" is pronounced /ɒ/ in technology, and technologist. Since /ɒ/ is a short vowel, these words are not hyphenated after the "o", and so are hyphenated after the "l". In technologically, technostructure, technological, the "o" is not in a stressed syllable, so these words are hyphenated after techno.
If you have a two-letter syllable, as in tech-no-struc-ture, there is probably no need to include a hyphenation point both before and after it, because two letters are so short. And hyphenating after techno- is clearly better than hyphenating after tech- in these cases, because the Greek prefix is from τέχνη, a word that includes the "n".
So the book is completely correct in this case. If you're looking for a reference (just judging from their treatment of this word), it's probably a good one, and you shouldn't second-guess it until you learn a lot more about the rules of English hyphenation.
It's possible that the 1986 Oxford Spelling Dictionary decided that in this case the rule about breaking at morpheme boundaries was more important than the rule about not breaking after a short syllable in technologies. That's a judgment call, but I personally would prefer to see technologies broken as tech-nologies rather than techno-logies (and techn-ologies is impossible because /kn/ never occurs at the end of a syllable in english).
\usepackage[british]{babel}are estimated to be 10% wrong.) – Nov 23 '23 at 23:02