https://www.fin.gov.on.ca/en/tax/hst/whatstaxable.html
While dog training is not listed on the government website above, our services for these kinds of things usually fall under "memberships" (i.e. class memberships) or "personal services" (i.e. personal trainers). Unfortunately, neither of these groups are covered by the rebate.
Therefore, it is our understanding that the rebate does not cover us. However, if you have any other information about this topic or evidence to the contrary, please reach out and let us know!