Chosen Solution

I installed a new battery using the ifixit kit and followed the guide but now my mac power on without the use of the power cabel

Hey Ravi, Pull the power and any other cable. Take the battery out and hold the power button for at least 15 seconds. Put the battery back in then plug the charging cable back in. Try restarting the laptop like normal. Hope this helps.

Try the original battery? you might have broken the board while unplugging it?