In the following sentences which tense should be used?
"My employer sent/have sent me abroad several times."
"I became/have become the „Employee of the Month” twice."
Semi-teacher and native.
Both can be used (with a few corrections). Though to me, and this is only my personal opinion, there are slight differences in meaning.
'My employer sent me abroad several times.' Suggests that the action is complete, you are unlikely to be going abroad again.
'My employer has sent me abroad several times.' Suggests that the action may reoccur, you may go abroad again.
For the second example, I would simply say, 'I was "Employee of the Month" twice.' Or, 'I have been "Employee of the Month" twice.' I wouldn't use 'became/become'.
Like I said, these are just my personal opinions, perhaps a teacher will have a different or more useful interpretation.
1) "My employer sent me abroad several times" is fine but I would expect it to be followed by a timescale: "My employer sent me abroad several times last year".
I prefer "My employer has sent me abroad several times". Note that "employer" is singular.
2) I agree with the previous poster. I would not use "to become" in this context. I would say "I have been Employee of the Month twice" (again, possibly followed by a timescale but not necessarily.)