The set you display is from Belarus, probably circa 1940. Collectors sometimes refer to them as "Mushroom" sets, for obvious reasons.
Soviets typically did not name sets, just as they did not brand most other consumer goods. Their packaging typically refers to a generic category: Tournament Chess, Youth Chess, Tourist Chess, and so on. Most of the names we now see have been given by Western collectors associating the set with a famous player, event, or location. Collectors in the former SSRs tell us they refer to sets according to the factory, city, or region where they were made.
The only book on Soviet pieces I'm aware of is the one I am writing. The best available resource is the Facebook group Ron Harrison and I administer named Shakhmatnyye Kollektsionery: Soviet and Russian Chess Sets. https://www.facebook.com/groups/738734636935127/.
The July 2021 issue of The Chess Collector Magazine, published by Chess Collectors International, contains a good overview written by Jim Joanneau entitled 20th Century Soviet and Russian Chess Sets. I have an article on the history of Botvinnik Flohr II chessmen forthcoming there, too.
You also could consult various articles Mike Ladzinski, Ron Harrison, I, and others posted in this forum between 2015 and 2019.
Finally, I am contemplating both launching a website dedicated to them and authoring a blog here on them. Stay tuned.
Lately, Ive been enjoying the aesthetic of soviet chess sets. I really want to learn a bit more about them and the history behind some of the different styles. Can anyone suggests some resources that I can turn to. Ideally something free and online. But I'm also not beyond purchasing a book on the topic if it is relevant enough.
One set that I'm having trouble identifying is the below. If you know what style set that is, it would also be helpfully. Thanks