Did you manage to find a solution?

It should work now as of xcode 14 beta3

Finaly figured out why this is. The public headers should not be in a folder named the same as the framework you are building. See https://stackoverflow.com/questions/27776497/include-of-non-modular-header-inside-framework-module/67869384#67869384 The reason behind this is not clear to me but renaming the folder fixed the issue. And then in the umbrella header make sure to only use imports <> and not the "" kind. https://github.com/dooZdev/mixed-swift-objc-framework