Hi @ansrikanth,
Do you also want to pass the authorization of your custom connector to the them when you share your app to your end users?
Which authentication type do you use within your custom connector?
Further, do you want your end users to access your custom connector without entering authorization token (providing their own credentials)?
I suppose that you use API Key as authentication type within your custom connector, is it true? If you want your end users to access your custom connector without entering authorization token (providing their own credentials), I afraid that there is no way to achieve your needs in PowerApps currently.
Currently, when you share an app that uses a custom connector to the end users, the custom connector would also be shared to them automatically, but they must create their own connections to this custom connector with their own credentials.
More details about sharing an app uses custom connector, please check the following article:
https://docs.microsoft.com/en-us/powerapps/maker/canvas-apps/share-app-resources#custom-connectors
If you want your end users to access your custom connector without entering authorization code, you could consider take a try to set the Authentication Type to "No authentication" within your custom connector, but you must make sure your QnA service is public to everyone.
Best regards,
Kris