@Akhil R Kumar Apologies for the delayed response, As I understand you are looking for a on-demand push notification feature within the authenticator app, as far i am aware end user from his security info page he can send the notification and test the functionality, however as a Global admin of the Microsoft Entra ID Portal, on behalf of the user admin cant verify the push notification capability.
Let me check with my team, if we have this feature request in pipeline.
Also you can share your feedback regarding this feature request on https://feedback.azure.com/d365community/search/?q=demand+push+notification which is closely monitored by our product team.
If my understanding of the issue is incorrect, feel free to reply back, would be happy to help you on this