Cite evidence refers to the evidence (or examples) a reader uses (in literature) to support a statement or stand he or she makes when answering a question about a text. If a question was posed regarding Toni Cade Bamara's "Raymond's Run" and the answer needed to be cited, the answerer would cite direct information (quotes or information one took straight from the text) from the text in order to support his or her answer.
For example, let us pretend the following question is asked of the text: "Why is Squeaky not like "some girls?"
To answer this question using cite evidence, one would answer it in the following way:
Squeaky is unlike "some girls" because, as the first sentence of the story tells readers, she "does not have much work to do around the house." Squeaky goes on to say that her "mother does that."
The cite evidence is "does not have much work to do around the house" and "mother does that." These are examples of direct quotes taken from the text as cite evidence.
Let us look at another example question and answer: "How does Hazel Elizabeth Deborah Parker get the name Squeaky?"
To answer this question using site evidence but not direct quotes, one would paraphrase the section which defines how Hazel Elizabeth Deborah Parker got the name Squeaky.
Hazel Elizabeth Deborah Parker gets the name Squeaky because she is a little girl who has skinny arms and a voice which squeaks.
Cite evidence simply requires one to look directly to the text for support regarding an answer.