Matter device for smartthings

Does Smartthings certification exist to connect to Smartthings?
Does a matter device connect to SmartThings only after thread and matter certification?

These devices are currently Matter controllers with Thread border routers:
Aeotec SmartThings Smart Home Hub
Samsung SmartThings Station
Samsung SmartThings Hub v3

These devices are expected to be Matter controllers with Thread border routers in 2023:
Samsung SmartThings Hub Dongle (update coming Q1 2023)
New Samsung TVs, monitors, and smart fridges (starting in 2023)

These are currently Matter Controllers without Thread:
Samsung SmartThings Hub v2
Samsung Smartthings Family Hub (Refrigerator)

This is a good article discussing the state of Matter devices and controllers as of the beginning of 2023.