I assume you already looked at eBay listings? I did not see any knives like these in current listings, but there are fair number of listings for other Kaylan kitchen utensils. The sellers who give approx. age are all saying 50's - 60's and only one claims the handle is bakelite, the rest just say plastic. Have you tested the handles?
No, I haven't tested it.. I'll have to look on how to do that.. Yes I searched on ebay but didn't find the same set
There are a number of different tests to see if the handles are Bakelite in this article. Scroll down to the testing section. https://www.realorrepro.com/article/Is-it-Bakelite