I felt injustice after my company hired fresh graduates with higher salary and grade than mine
You should change your point of view: think this way - Are you getting paid enough for the value addition you provide to the organization?
If you think you deserved to be paid more (based on your work and performance), go ahead and ask for it. If the organization is not willing to revise, and you feel you should be paid more, you need to find a new organization which will pay you that amount.
If you think based on your contribution your paycheck is proportionate, and/or you cannot justify the ask for a raise / revision based on your contribution, then, asking for a raise based on some other employee's payout is not going to do any good, rather it will paint you in a bad light.
Moral of the story: How much you are getting paid is of your interest, not how much others are getting paid.
I already addressed this to my manger one year a go and he told me he will give me a raise but nothing happened so far!
Very useful suggestions on asking for a raise if you feel you are underpaid.
I start to disrespect my management and I think they don’t care about their employees satisfaction at all.
No good will come from an engagement where either party is not happy. If you feel you have enough reasons to be paid more, and all your efforts in conveying that is not working, you need to look for a new job then.
What should I do? Should I bring it up to our HR group?
I personally don't think the HR really has anything to do / say in this. It's very likely they'll reinforce your manager / supervisor's decision.