Welcome to the Microsoft Q&A Platform. Thank you for reaching out & I hope you are doing well.
I understand that you would like to know if it is required to manually add routes in the Hub Vnet to forward traffic from OnPremises to the Spoke Vnets.
It is not required. This is automatically handled by the platform.
However, you will be required to enable gateway transit in virtual network peering between the Hub and the Spoke Vnets.
This is documented here : Configure VPN gateway transit for virtual network peering
Also refer "Virtual network gateway or Route Serve" under Manage Vnet Peering
Kindly let us know if the above helps or you need further assistance on this issue.
Thanks,
Kapil
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