It's traditional in phonetics to give a ᴠᴏɪᴄᴇ, ᴘʟᴀᴄᴇ ᴍᴀɴɴᴇʀ (VPM) label in the description of consonants. This kind of label corresponds to the entry that such a consonant would have according to the International Phonetic Association IPA chart. So you can think of the VPM label as a kind of name for that type of consonant. Any further phonetic detail, for example devoicing, labialisation, nasalisation, usually comes before the VPM label. In other words, it functions as a modifier (think descriptor) of the more general three part name for that consonant. (I am not implying that the VPM label constitutes a compound noun.)
So we would normally expect to see:
- labialised voiceless velar plosive
- retracted voiceless velar plosive
and so forth.
Notice that non-pulmonic consonants, for example ejectives, can be considered to indicate different manners than would be denoted by the same symbol without the diacritic. So the ejective [t'] is often described as a voiceless alveolar ejective, instead of as an ejective voiceless alveolar plosive.
There are doubtless other anomalies that I haven't considered.