Hi Sheenal120,
Before moving on, I would like to confirm whether you have tried Ida’s steps and the workflow created via browser works well.
If so, to narrow down the root cause of the issue, please use SPD to create a simple Three-State workflow in the affected team site. If it works well, SPD client should not be the root cause.
Moreover, please note that the following four workflows are built into the E plan, but are not supported in the P plan: Approval, Collect Feedback, Collect Signatures, Disposition Approval.
Thanks,
Claud