Verse satire is a satire written in verse or poetic form. Lucian`s writings, in the original Greek, are exclusively in prose, and therefore are not verse satire.
The question of Menippean satire is somewhat more complex as the genre is less well defined. On a purely formal level, Menippean satire is usually written in the form of prosimetrum (mixed prose and verse), and because Lucian`s work is purely in prose form, it would be disqualified. Although Lucian does mix serious philosophical reflection with humour, the story lacks the fragmented and quasi-picaresque, fantastical nature usually associated with the genre.
Thus Lucian`s True Story is neither verse nor Menippean satire.