These light modellers have the small proprietary Godox mount and are only suitable for a few Godox flash units. If you want something universal, buy light modellers with the Bowens Mount and make sure your flash supports it too. You can also use the Bowens S2 adapter for mountable flash units:

Godox S2 Systemblitz Adapter Bowens Mount (Halterung)

Unfortunately I don't know what you mean by "Cobra Flash". I don't know of any flash with this name.