To hand a thing over for consideration. Also to yield — the same word for offering and for giving way.
Latin submittere (to put under, to send beneath, to yield), from sub (under) + mittere (to send); handing something over for judgment and giving way before an authority were never two separate acts to the Romans.
Handing a thing over for consideration, or yielding. The same word covers offering something up and giving way, and only the context says which is meant.