I would keep the pressure in the center rather than exchange with ...exd4. You can to ...Nf6 instead, and maybe take later.
The maroczy type structure should be played very patiently as black - black should not rush to do anything, because white has more space and preparation. In the first position, you should play ...a5, ...Nc5, and maybe ...Ne6 to exchange some pieces (good in the maroczy) and move slowly. You should wait for an opportunity to get a counterstrike in the position. It's not that nice to play for players who want to do something quickly, but you have to play it like that.
With regard to counterplay - black doesn't need counterplay because black is not down material or anything. If white tries to attack black, black is ready. But white has more space, so it feels like white's position is better, when it's only slightly better probably.
HELLO EVERYONE,
I am deeply analyzing the Modern Defense vs 1.d4-c4 , and i had a problem with one critical line. I would like which ideas u have after this position .
It is a maroczy structure, the point here is black has not enough time to push his pawns to c6-d5 and free his game.
I will give you an example what i am talking about :
Someone probably already knows that black´s innacuracy is to play exd4 so quickly, but black tries to avoid the classic king´s indian in the modern defense.
The question is , what can do Black in this position, if you make passive moves like a5-Nc5-b6-Bb7 or h5 (the engine moves) black is in the typical maroczy game but without any counter-play.
What would you do?