The differences between setting up an NIS-compatible and a standard NIS+ server are the same as the differences between setting up standard and NIS-compatible root master servers (see Standard Versus NIS-Compatible Configuration Procedures). The NIS+ daemon for an NIS-compatible server must be started with the -Y option (and the -B option for DNS forwarding), which allows the server to answer requests from NIS clients. This is described in Step 2 (the equivalent step for standard NIS+ servers is Step 3).
Whenever rpc.nisd is started with either the -Y or -B option, a secondary daemon named rpc.nisd_resolv is spawned to provide name resolution. This secondary daemon must be separately killed whenever you kill the primary rpc.nisd daemon.
Here is a summary of the entire configuration process:
Log in as superuser to the new replica server.
[NIS-Compatibility Only] Start the NIS+ daemon with -Y.
[Standard NIS+ Only] Start the NIS+ daemon.