@Adam Dudley , The Domain Controllers present in the Azure AD DS service cannot be extended and connected to on-prem DCs. In Azure AD DS Service you have limited access to these backend DCs.
There is a way available to create a hybrid setup like DCs in Azure and DCs in on-prem all connected together. How you do that is by creating a Azure VM and installing the Domain Controller role on that and then extending the network to connect to your on-prem datacenter, by either using Express Route or Site-To-Site vpn. In this setup, you DC sitting on the Azure VM can be connected to your DCs sitting in on-prem Datacenters, and replicate among themselves, but the point to note here is that, your DC sitting on the Azure VM cannot pull objects from Azure AD. The reason for this is the server engine i.e Azure AD Connect server, only allows objects to sync from On-Prem DCs to Azure AD and not the other way.
Also another point to note is Azure AD DS is the only service that can sync from AAD to its DCs which are running in the backend. Apart from Azure AD DS service there is no other way to extend Azure AD's directory to other Domain Controllers sitting on-prem.
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