In the instructions of various manufacturers, you see a picture with unguided recirculated air, also with AEG. The air escapes BEHIND the back wall of your cooktop cabinet, blows into the narrow gap (minimum 60 cm from the front edge of the front to the house wall) and spreads in the base.
The base is planned to be shortened a bit so that the air can escape between the carcass and the base. Without the gap, your cabinets will eventually mold because the moisture cannot escape anywhere.
If this was a DIY job, you probably did not connect the device correctly and the warm air blows into your drawers.
You should have such an opening in the cabinet back wall

into which such a part is inserted

which came with the cooktop. With this part, the air blows all the way into the base
Personally, I would take guided recirculated air with a odor filter in the base. The moisture always stays in the room.
The distance to wall cabinets should be no less than 60 cm. That is all okay if the downdraft extractor is turned on every time you cook.