Hi @Peter Szabo
I'm pretty sure this is based on the communication with a service running locally on each protected server called "InMage Scout Application Service"
When using Recovery Plans in ASR, you can leverage the pre-steps and / or post-steps before or after you start a group of VMs.
You can add simple script to just pause for x seconds or add something a bit sophisticated where you verify if confitions XYZ are before moving to the next group of VMs for example.
https://learn.microsoft.com/en-us/azure/site-recovery/site-recovery-create-recovery-plans#add-a-script-or-manual-action
In the Azure Automation runbooks Gallery, you will find example of scripts that you can import in your own subscription:
https://learn.microsoft.com/en-us/azure/automation/automation-runbook-gallery
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Regards,
Didier3001