Are you saying that that is the incorrect way to conjugate it?

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Accepted Answer

Hi Marie,
Just a correction- 
'S'endormir' is to fall asleep and 'Se rendormir' is to fall back to sleep as they are both reflexive verbs.

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Hi Marie, the conjugation given in the lesson is correct. Was that your question?
-- Chris.

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I was confused by seeing "rendors" and "endort" in the examples, but not in the original conjugation. I would have explain my question better, but it didn't like the length of my question at first.
So endormir is to fall asleep, and rendormir is to fall back to sleep?

Answer

Yes, correct: "endormir" is to fall asleep and "rendormir" is to fall back to sleep.
They all follow the same pattern of conjugation as their root verb: dormir:
je dors -- je m'endors.tu dors -- tu t'endors.il dort -- il s'endort.
.... and so on. They share the same endings with "dormir".
-- Chris (not a native speaker).