Add A records for your nameservers from your WHM. You can do so from DNS Functions >> Add a DNS Zone and then put the 2 IPs one by and and your nameservers respectively.
Then open your 123-reg account and click on modify your domain for respective domain. You will see an option named "Manage DNS" which will allow you to register those 2 nameservers for which you added A records from your WHM with us.
I am not 100% sure if that option will work coz 2 of our customers recently tried to do the same and the DNS didn't work even after 24 hours. You can give a try and wait for 24 hours. If the nameservers don't resolve then we can provide you with 2 anonymous nameservers on some of our domains.
You can refer to
Nameserver changes at 123reg to know what others have done for such DNS change.
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