My Work? No, Your Work!

-- This clarifies the meaning.

Somebody at work gives you a job that you decide is not exactly in your work boundary your responsibility and which makes it looks seem like they just want to toss it away to someone else and you are an easy target. the hunt.

-- This is still a little bit awkward because this isn't really describing a "situation", it is describing a person. If we were to describe the "situation, you would say:

A job is given to you at work even though it is not your responsibility, which makes it seem like the person who gave you the task is simply trying to pass it on to someone else and you seem like an easy target.

Since they don't want to be bothered the bother of handling it by themselves or to be involved in the first place, they are looking for find someone else to undertake it instead of them.

-- "are looking" is present progressive. This would work if the previous sentence you had said, "Somebody at work is TRYING to give you..." 

Those kinds of The work are likely to entails many a lot of chores, but less provides little credit for them.

-- You sentence was not bad, just inefficient.

If a company has their system set up poorly in regards to regarding job descriptions and the work boundaries are blurry, the employees may experience this quite often.

Great job. The term used for this situation is "Passing the buck"

If you have any questions please let me know.