Ok, so this shogun may not have been used at the time of the theft.
Who saw the shogun?
Broad daylight, this sends alarm bells that the people involved do not care if they were seen or heard (Unless the chap lives in a very rural area, or garden is secured by trees and other obstructions).
Dogs were lifted over 8ft fence with wire, then across garages. Well this was obviously planned to a T, and loads of DNA at the scene too!
Where the dogs secured in kennels or lose in the garden?
Is there any CCTV in the area? Check local campsites, mobile home sites,it's not always travellers