Find poetry with a hook. Books with a strong narrative, may be easier sells for older children. It's a title requires an emotionally strong reader, but most children love it. Heroine Billie Jo's free verse poems link to tell the intense story of how she endures mother's death and the Dust Bowl depression. My daughter's recently been hooked by the work of Mel Glenn who writes entire mystery novels in poems.
Young adults can piece together clues from the series of poems.
Turn your child onto writing poetry. Many children enjoy writing poetry more rather than reading it. Paul Janeczko is a man whose work I've admired for years. His own poetry is powerful, he compiles exquisitely,and he's taught poetry workshops throughout the world. And who knows, writing may provide a path back to appreciating the work of other poets.