Which team task manager should I choose for my tasks?

Question

Task Management

Good afternoon.
Tell me in which task manager you can implement the following task execution. The author creates a task, assigns an executor. After the task is completed, the executor sets the status completed. The author will check if everything is OK, then closes the task, if not, then reopens it back for the performer. That is, the executor, if he is not the author, cannot close the task on his own.
So far, only Yandex Tracker is suitable for this, but it does not have a mobile application.

Answer 1

Jira

Answer 2

Doesn't everyone have this? I have a leader task at work, there is such a thing. I thought it was generally a basic function. But if you haven’t found it anywhere else, then really try leadertask. In addition, you wrote above that fat is complex, but it is just simple. Although against the background of fat, everything seems simple to me.