Login loop

We have recently migrated our website to a new hosting server, previously we had the plugin installed and configured which was working as desired.
But now after migration when we try to log in, it redirects to the same login page building a loop of it.
We also found that when the plugin folder is renamed, wp admin works giving access to the dashboard, but we would like to have this plugin, as it serves pretty good for security purpose.

Let me know the way to resolve this.