Hello there! The statement "lyric poems do not tell a story" is false.
The purpose of lyric poems is to show an emotion or feeling, but not really to tell a story. The word "lyric" comes from the latin word "lyricus," which means "of/for the lyre." Lyric poems usually used to be with music, displaying a certain melodic mood, but they don't tell a story.
I hope this helped you and have a great day!