Question:

Why is the custom record type in the Consent_Type_vod object not displaying in CRM offline when capturing consent?

Answer:

Every custom record type created on the Consent_Type_vod object must have a corresponding custom record type on the Multichannel_Consent_vod object.

Additionally, the end user needs to have Record Type access to the custom record type on both the Consent_Type_vod and Multichannel_Consent_vod objects.

Related Documentation:

CRM Help Documentation: Components of Consent Capture