In all the years I've used Consumer Reports I've never seen them rate moving services. I just jumped on their site now, and there are no reviews for moving services.
CR's freelance writers have written general advice articles on moving services, like https://www.consumerreports.org/moving/how-to-choose-a-relia..., which might be useful to some readers but certainly aren't very deep. These articles aren't the same as CR's actual reviews, which have scores and detailed ratings for each product metric.