NES version does have credits, and it lists four people for music by first name only. "Akira Nobuya" and "Noriko Tsutomu" were someone misinterpreting the credits.
https://vgmdb.net/forums/showthread.php?p=52529
There's an Akira Satou in the 1993 TOSE Game Boy game Crayon Shin-Chan: Ora to Shiro wa Otomodachi Dayo, so that's probably "Akira." I'm not especially convinced that they're the same person as the Seibu Keihatsu Akira Sato who composed Raiden.
There are a few TOSE Norikos. The one whose earliest known work is closest to Yoshi's Cookie is Noriko Nishizaka, who did the 1998 Game Boy Color game Game & Watch Collection 2 (3 in Japan).
The Japanese SNES version could potentially have development credits, but I've never seen them if they exist. The Game Boy version credits the same four people.