Remember_web cookie in laravel 5.2

I have an application build on laravel and WP as a frontend, I use to login my users from laravel side (using remember me), and keeps this user logged in on both platforms at the same time. Now when I log the user out, and come back after some days, I find this cookie (remember_web_59ba36addc2b2f9401580f014c7f58ea4e30989d) present in the browser's console while it shouldn't be there.

My main issue is this cookie should not be there if the user is not logged in. I have tried deleting this cookie, but its not deleting using the code. Can anyone help me with this?

via Chebli Mohamed