@Ravineesh - Thanks for the question and using MS Q&A platform.
Could you please confirm whether you had created private endpoint in purview to connect the data sources and disable public network access?
If yes, please do make sure copy activity or data flow activity in ADF/Synapse is running via Managed Vnet IR.
Note: Please be aware that Azure IR or AutoResolvedIntegationRuntime is designed to make outbound connection via public network. So, it will not work in this scenario.
If no, please check if there are any issues with the integration runtime used to execute the Copy Data activities and conduct lineage push. You can check the integration runtime logs to see if there are any errors or warnings related to the lineage push. If there are any issues with the integration runtime, you may need to troubleshoot and fix them.
Hope this helps. Do let us know if you any further queries.