Eew, that greenish-yellow on the outside of the fire just does not go with anything. So, let's fix it. Merge the two fire layers together then open the "selective color" tool. Play around with the the sliders for each of the colors to achieve something you think gives more natural life to the fire. Try each color and see what happens, it's a good learning experience that's better if you try for yourself rather than me telling you where to put each and every slider. Anyway, the new colors I've come up with are shown below.
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