Sorry. It's not a problem with the remote, it's a problem with the Sony equipment you purchased. If they don't have discrete codes, they don't have discrete codes.

I monitor and for your problem, searched this site and came up empty-handed.

[Link: hifi-remote.com]

If this is new equipment, then it may show up there shortly. This particular site explains how to use MakeHex from the Classic Pronto Files Forum to generate IR codes for sony equipment.