"no longer in fashion, out-of-date," 1894, from out- + mode (q.v.); perhaps formed on model of French démoder.
Entries linking to outmoded
out-
in Old English a common prefix with nouns, adjectives, adverbs, and verbs, "out, outward, outer; forth, away," from out (adv.). The use was even more common in Middle English, and also with the senses "outer, outside, on the outside, from without, external, externally; apart; greatly, extremely; completely, thoroughly, to completion." Other senses of out that extended into the use as a prefix include "beyond the surface or limits; to the utmost degree; to an explicit resolution."
In composition out has either its ordinary adverbial sense, as in outcast, outcome, outlook, etc., or a prepositional force, as in outdoors, or forms transitive verbs denoting a going beyond or surpassing of the object of the verb, in doing the act expressed by the word to which it is prefixed, as in outrun, outshine, outvenom, etc. In the last use especially out may be used with almost any noun or verb. [Century Dictionary]
mode n.1
"manner;" late 14c., "melodies, strains of music" (a sense now obsolete; see musical senses below), from Old French mode and directly from Latin modus "measure, extent, quantity; proper measure, rhythm, song; a way, manner, fashion, style" (in Late Latin also "mood" in grammar and logic), from PIE root *med- "take appropriate measures."
Meaning "manner of acting or doing, was in which a thing is done" is by 1660s. Sense of "inflectional category in conjugation" is mid-15c. In music, 1670s as "method of dividing the intervals of the octave for melodic purposes" in reference to ancient Greek music; by 1721 in reference to modern music.