How will the graduate committee regard two different TOEFL or GRE scores sent to them?
This mainly depend on what department you want to send application, for match,cs etc the quantitative reasoning is main interest for english, literature history the verbal and writing skills matter. Also if they are asking score as total and also for each module then its easy however some universities doesnot say about how they weight GRE score

As for toefl it also depends on the criteria set by the university e.g they can ask a total score of x with no less then y in each module. As when i was applying it was actually ielts and mentiones that ielts band 7 is required with no module less then 6.5, so if your score is crossing in any results the minimum criteria you can apply using that