Original sentence:

The job demands computer skills, math ability and with accounting background.

Correct Sentence:1. The job demands computer skills, math ability with accounting skills.

Original Sentence:
My sister in not only a talented musician, but she is also teach with great success.
Correct sentence:
2. My sister is not only a talented musician, she also teaches with great success.
Original sentence: Raking the leaves this morning more than 100 geese flew overhead.
Correct sentence: When raking the leaves this morning 100 geese flew over
Original sentence:
Follow the directions for writing the essay carefully
Correct sentence: Directions for writing the essay correctly as followed.

3 answers

Your sentences are all wrong.

Please study this site.

http://www.chompchomp.com/terms/parallelstructure.htm

In sentence 2, who is raking the leaves?
My sister is a talented musician and she teaches with great success as well
Nope.

Please try again. You want a parallel with "talented musician".