They have an add-on for Toolset compatibility, are you using it?
lien caché
I can see from our internal tickets that this same error was reported a year ago, and that we had some interactions with the plugin author that ultimately proved fruitless.
The plugin creates duplicate posts on other sites on a network, but isn't doing it correctly with Types custom fields.
We'd be happy to try again to help the Broadcast plugin author identify what's required. I suggest you file a support ticket with them, where you can invite them to contact the Types developer jan.s@onthegosystems.com for assistance.
I've updated our internal tickets to link them to this thread.
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From the internal tickets it looks like there is some email communication between the developer of Broadcast and of Types, so hopefully that means a solution can be found.
I'll leave this escalated and update you if I see any news.