transitive to formally give something to someone so that they can make a decision about it. The plans will be submitted next week.

Will be submit or will be submitted?

In this case, "I will submit" is the correct usage. "I will submit" focuses on the fact that there will be an event, where you submit the assignment. The listener can reasonably assume it will be swift. "I will be submitting" focuses on the act of you engaging in submission.

Will be submitted means?

2 : to present or propose to another for review, consideration, or decision also : to deliver formally submitted my resignation. 3 : to put forward as an opinion or contention we submit that the charge is not proved. intransitive verb. 1a : to yield oneself to the authority or will of another : surrender.