What is soughed off?

Answer 1

I am going to guess you meant "sloughed off", which means "avoided a job or task that was one's own responsibility". Some sentences:

"He wasn't supposed to leave to meet his friends until his room was in perfect order, but after a quick making of his bed, he sloughed off the rest of the job and left".

"It was her responsibility as Senior Girls Counselor to give the new campers the lecture on Cabin Duties, but she sloughed it off onto her assistant".

Answer 2

"Soughed off" refers to the process of eroding or wearing away material, usually through natural forces like wind or water.