I suggest your applying for the job. 什麽意思？

> I suggest your applying for the job. 是壞英語,請不要學習.

請用:
I suggest that you apply for this job.
Your application to this job is recommended.

I suggest you ( to apply) for the job
建議請申請那份工 !
=You may apply in person or by email.
=infinitive is the non-finite form of a verb with to; as above.
I suggest your applying for the job" may end up a failure/ may cause a failure."The sentence needs a clause to complete. "applying" is the form of a verb when used as a noun called Gerund. A clause is needed.
=The job does not apply to you
=The job cannot be applied in your case.