For example, I had to make an opposed Dex roll of 13 in a certain interaction. I happened to roll a 15 on the die, but I didn't see or notice if my Dex modifier was added to the roll. I have a +4 to my Dex, so in this instance did I roll an 11+4? Or did I just roll a d20 and get 15 with no added bonuses? I think that providing this information will make rolls feel that much better, and allow us to know where we stand when it comes to passing skill checks and such. I thought that the screen could look something like this...
Modifiers are already taken into account for the target. The DC you had to hit was 17, but your +4 Modifier reduced it to 13. You rolled You rolled a 15 and passed.
Here's how the explanation from your screenshot should look:
Base DC: 10
Modifier: +2
Target = Base DC - Modifier = 8
Roll: 6