After you applied, you should have received a confirmation email that the company received your application.
You can always log in to your TalentNest account you created with the company you applied to and update your résumé. If you see the Application is Complete, then everything required has been submitted for this job.
Each company that uses TalentNest has their own policy on communicating with applicants. Some may update you on your status regularly, others may only contact successful applicants.
TalentNest does not change or have any influence on the status of an application.