In different situations, we have all apologized, quite honestly, after realizing the mistake. But, there are also many cases when people apologize and do not take it seriously at all. This can vary from a variety of factors:
The desire to manipulate the
"Obligation" by a particular factor / person
Attempt to close the discussion

It is impossible for you to enter someone's heart and understand if he is really apologizing to you, but words do not deceive. If you notice these expressions, it is very likely that the person who is apologizing to you will repeat the mistake.

Forgive me, but you pushed me to do that / say that word.
It makes you think that you are the one who starts the problems.

I'm sorry you feel that way.
In fact, this "apology" turns the blame on you and you think you overreacted.

OK im sorry. Do you feel better now?
It is very clear that he is apologizing to you to close the conversation or avoid the situation.

Forgive me, but why didn't you tell me when it happened?
Every time you bring it back to his / her attention, you will come across this sentence.

Forgive me, but you were also to blame.
Guilt does not necessarily have to be split in half.

So I told you, forgive me. What do you want from me?
To change, perhaps?

I'm sorry. I was just trying to… (make a joke / help you…)
If this goes on, someone is just trying to justify themselves, not apologize.

The request for forgiveness is sincere and is made when one is fully aware of the harm he has caused and does not try to shrink his / her responsibilities.

Also, keep in mind that you do not have to forgive if you do not!