In plain words
Mail servers look up the sending address’s PTR record and check that the name points back to the same address. It is set by whoever holds the IP address, not among your domain’s records.
Why it matters to a firm
Gmail and Microsoft refuse or slow mail from a server without one, which catches mail sent straight from a web server or an office device.
The check behind the finding
nslookup 203.0.113.10 Run it on the sending address from a bounce. No name means no PTR record.