According to Logitech’s support page, the problem was caused by “an expired certificate” required for the apps to run.

Logitech users on macOS found themselves locked out of their mouse customizations yesterday after the company let a security ...

An expired certificate has resulted in numerous Logitech peripherals losing full functionality in macOS. Here's how to remedy ...

A certificate issue has broken the Logi Options+ app on macOS, leaving many Logitech mouse and keyboard features unusable ...

There has long been criticism of Logitech's overloaded Mac app for mice, keyboards, and more. Now Options+ has briefly ...