Sometimes an apology is not genuine and you might not feel like accepting an apology. What if a colleague said sorry to you and you just want to move on. If a family member apologised to you in a sincere manner, the way you would respond them would be different. It all depends on how you feel and your emotions.
There are many different ways to say accept an apology in the English language. It is very important that you use the correct phrases in certain sensitive situations to make sure you don't say anything wrong or rude! Tone is also important.