Hi Mahendra,
Push Deployment in STO happens in real time using ATP EDQA Process. i.e as soon as your stock get increased (GR Stock change) Push deployment will happen in APO and the same will be sent back to ECC.
Can you check the feasibility on gathering the Material Document Number created for latest Stock increase Movement Type for a material and match it with latest STO created for the same Material.
Just my thought
Regards
Vinoth