Please post your log. No longer needed.
1. Using your proxy as the event subscriber is a bad practice, as the one and only purpose is to run code on one dedicated side. Consider using another class for item/block registration instead of the proxies.
2. (Main issue) You have to subscribe to the ModelRegistryEvent and register your items there. An example would be
ModelLoader.setCustomModelResourceLocation(yourItem, metadata, new ModelResourceLocation(yourItem.getRegistryName(), "inventory"));