There are multiple ways of solving this issue assuming it's DNS related. Some solutions are more efficient than others, but let's say your domain is example.com:
Leverage the DNS forwarder and add example.com to the Domain Overrides.
Configure a DNS server on site B. Add a conditional forwarder for example.com that is pointed at the DC on Site A
Configure a DNS server on site B. Add a primary forward zone for example.com and create an "A" record for example.com and point it at the DC on Site A
In theory, you could also do this -> While option 1 is in play (or add example.com to the hosts file here), Spin up a Server on Site B, join the domain, promote this server to a backup domain controller.
Add example.com to the hosts file on every machine in site B. (A management nightmare and the most inefficient method, but will work)