sorry you experience it as demotivating. I think this is because your expectation of who has what responsibility is not aligned with workplace expectations.
The thing is, your manager has to fill in some paperwork and other admin processes to get you that raise. The manager is probably willing to do that work for you.
You can make this easier for them by helping them fill in that template. Making your manager's job easier IS part of your job, especially making it easier for them to get you a raise.
So yes, the main part of your job is to do the work explicitly assigned to you. And another part of your job is making sure that the work you've done is easily legible to the company.
family/friends relationships have other 'rules'/courtesies.