Is this correct?

We forgave each other after we had argued.

Are the tenses correct?

Yes, it's correct.

Thank You!

You're welcome.

Yes, the tenses in the sentence "We forgave each other after we had argued" are correct. The past tense form "forgave" indicates that the forgiveness happened in the past, while the past perfect tense form "had argued" indicates that the argument occurred before the forgiveness took place. The use of the past perfect tense in "had argued" demonstrates that the arguing happened before the forgiving, establishing the correct sequence of events in the sentence.