Hi Nishith,
Please check if your System DSN used in Universe connection is created on server too with same drivers and same credentials.
At the moment, seems like you have System DSN on your machine and the report from rich client might be using the same and running fine.
Create System DSN on BO server machine as well, same as what you have in your local, including DSN name and credentials.Test the Universe connection from Bo Server machine or webi rich clinet report execution from server machine to test the System DSN on server is working fine, if DSN already already exists.
Thanks
Mallik