Most times the lawn can outgrow the damage in the spring or fall because of wetter and cooler growing conditions. Moths present dont always mean damage as they can fly for a distance. The obvious problems come during/after drought when the lawn is stressed and then attacked. I would suggest a preemptive strike of your insecticide application of choice in July and water it in if granular to take them out early. If damage already occurred then focus on fertilizing now and mowing higher to help recovery. A little overseeding and soil doesn't hurt also. These little buggers cause lots of strife.
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