If you say something is in regard to something it means that something relates or is concerned with another thing. For example, this email is in regard to the matter we discussed yesterday. The expressions in this regard or in that regard means in connection with something that was previously said or mentioned.

1. I don't consider Peter good enough to be on the team anymore, and in this regard, I know I'm not alone in thinking that.
2. I have a good amount in savings, so in that regard I have security.

1. The suppliers said that they would cover the costs of the shipment, so we have nothing to worry about in that regard.
2. Even though the company receive a lot of complaints, their customer care team is second to none. In that regard, they are doing pretty well.