Weevils are small beetles. Moths have a caterpillar stage, but are not weevils. Weevils are common grain infesting pests. Store grain in plastic buckets with dry ice or oxygen absorbers to kill live weevils or moths. If there are eggs, they won't be killed during that treatment. They can be killed by retreating the grain with dry ice of oxygen absorbers at a alater date.
This publication http://extension.usu.edu/files/foodpubs/fn371.pdf can help give more details.