No, it means that the person who mixed the songs (corrected the levels of the sounds - like hearing the beat in some parts and not hearing it in others, etc - it's actually not that easy - my music teacher does it and when he tried to teach me, I realized how hard it was and I generally catch on easy).
Composed means that they wrote the music to the song. Koji Morimoto isn't a composer - he mixes the song so he sounds right to our ears.
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