A method of applying a tamper evident band involves: moving a container in a feed direction below and past a mandrel assembly that includes a lower end with a band guide structure; utilizing the mandrel assembly to form a tamper evident band; ejecting the tamper evident band downward from the mandrel assembly toward the container before the container is completely under the mandrel assembly causing a leading side of the tamper evident band to move over a leading side of a cap and neck section of the container while a trailing side of the tamper evident band is above a trailing side of the cap and neck section of the container; and as the container continues to move past the mandrel assembly, the band guide structure pushes the trailing side of the tamper evident band over the trailing side of the cap and neck section of the container.