The idea that MMO's 'influence' D&D is backwards, or at least, circular, MMOs are just RPGs in another, less more limited in some ways, more wide-open in others, medium. DPS or aggro or striker or whatnot aren't MMO concepts that crept into RPGs, they're MMO names for RPG phenomena that MMOs dealt with bringing onto their platform. Sometimes they even provide a useful insight, because the concept wasn't much confronted in the RPG group-think of the past. 'Aggro' for instance, back in the day, DMs would often have monsters just take on the 'front line,' or 'attack the obvious threat' or whatever rationale for wasting attacks on the heavily-armored fighter. It was just how things were done. There's no DM in a CRPG or MMO, so the programmers had to take up that slack and create a mechanic to make the monsters behave 'right' - they came up with aggro, and, when that came back around to the RPG side, GMs & Players became aware of it. But it was always there, just an informal convention rather than an actual mechanic.
That pet peeve aside, 'modern' influences on 5e aren't exactly non-existent, but they're probably incidental, the thrust of the edition is backwards, it's re-captured the core of the classic D&D experience. Modern influences are, like, get'n on facebook & twitter instead of hosting their own buggy forum, stuff like that. ;P