Hi, I know that "turn away" for people, mean, to "Get away from a certain place" but here I'm not sure about its meaning ...

Based on this context "sensational" in second glance it seems to me like this meaning in this example
the sensational news story caused a stir, but after a few days everyone forgot about it

".. moral outrage against plural marriage and the titillation of lurid stories of Mormon excess,Mormonism was constantly in the news. Not until the twentieth century did the coverage turn away from the sensational to Mormons’ social virtues. "
Turn away from = stop doing
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Hi Mister, with "stop doing" the doing here refers to coverage? so they stopped to coverage the sensational ?
That's right—and started covering the social virtues.