Polo with weird problem

[Ysnay]

Hey everyone this is my first topic and I want to show one of my issues with my polo 9n 2007 1.2i 6V 44kw.

The car does only start pressing the acceleration pedal and it needs some time 5-10 seconds.

No engine lights and no error codes on the ECU.

First things I checked:
Timing chain and timing position,
Bougies,
All sensors,
New battery,

Everything seems fine no leaks detected in the system als the exhausted is new placed and has also no leaks.

So after starting the car pressing the acceleration pedal the car starts and runs fine after pressing the acceleration pedal again it drops when idling and goes back to normal.

Reprogrammed the throttle and still the same issue...

Maybe someone had this issues and I will be thankful if he she can share his knowledge with me.
Thanks for reading

[littlepolo]

What is the 'normal' idle rpm after pressing the pedal? Does it run smoothly?

[Ysnay]

It runs smooth no issues when pressing the gas pedal,
When you let the gas pedal go it will try to stop (goes under idl) and then is is back to normal. And starting is another issue when its cold 3-4 seconds it will start and when its on temperature is struggles to start 20-30 seconds.

[Ysnay]

I bought the car and the owner said that the battery was death after installing a new battery first time the bougies where wet so I had to clean them after that it started but if you dont press the acceleration pedal in the first time same issue does not start bougies getting wet...

[littlepolo]

Seems like a fueling issue which is why I asked for normal (in this case) idle rpm. What is it?

What is the ambient temp (approximately)?