Phrases Apologies and Excuses

Let me make it up to you.

Meaning

Offering amends.

John: I'm so sorry I missed our meeting.
Alice: It's okay, but it caused a delay.
John: <b>Let me make it up to you</b>. How about lunch tomorrow?
Alice: That sounds good. Thanks for that. <b>Let me make it up to you</b> sometime with that assignment.