The question is regarding 成语－挟怨报复
“挾怨報復”：心懷怨恨而報仇（bear resentment against somebody and retaliate）。
這的確是很常用的詞語，但大部分詞典只有相同意思的“挾嫌報復”。
This is indeed a very common word. But most of the dictionaries list only "挾嫌報復" which has the same meaning.

如果前輩很喜歡“雞蛋裡挑骨頭”或刻意曲解你的報告，是可以用此詞。
If the predecessor is very picky or deliberately twists your reports, you do be able to use this term.

“一朝權在手，便把令來行”：一旦握有權勢，便下命令。(Once the ascendancy is held, the commands are given.)
這和你敘述的情形只有一點相關，就是：他因為是前輩，所以比較有權勢。
但這句不含“故意找麻煩（報仇）”的意思。
“便把令來行”不一定和報仇有關。
There is only one point related to the situation; i.e., because of being a senior, he is more powerful.
But this sentence doesn't mean "deliberately looking for trouble (revenge)".
"便把令來行" is not necessarily related to revenge.

“心胸狹窄，倚勢挾權”：此二詞連在一起是指“度量小的人濫用權勢”。
這和你敘述的情形有兩點相關：
其一，你指正他，但他不能包容，是和“心胸狹窄”有關。
其二，他用前輩的權勢。
這句有一點“報仇”的意思，但不太明顯。
"心胸狹窄，倚勢挾權": These two phrases together mean that "a narrow-minded person abuses the privilege".
There are two aspects related to the case.
1. You corrected his reports, but he couldn't tolerate. It's connected with "心胸狹窄".
2. He takes advantage of the power of a predecessor.
This sentence implies "revenge" a little, but less obvious.

“倚老賣老”：賣弄老資格 (to flaunt one's seniority)。
這和你敘述的情形只有一點相關，就是：他是前輩。
This is relevant only to that "he is a predecessor".

“竊弄威權”：暗地裡玩弄權勢 (to abuse authority secretly)。
這和你敘述的情形只有一點相關，就是：他用前輩的權勢。
This is related to that "he uses the power of a predecessor".

比較這幾個詞語，還是“挾怨報復／挾嫌報復”較適用。
Comparison of these words, "挾怨報復／挾嫌報復" is still more applicable.
Good choice!