Hey, just got a 2021 Skoda Combi PHEV and it's ofc completely out of charge. Tried charging via 2pin socket in the garage but it's not working.

What I'm getting: 

• On the car: solid yellow indicator
• On the cable control box: first (A, house) indicator flashing greed, bottom indicator (D) - solid red

 

My guess would be - there is no grounding pin on the wall socket. 

 

Can that be the case or what else should I do to troubleshoot?

 

 

 

That must be the reason.
AFAIK the "home charger" needs a functional grounding circuit in order to work.

There is no ground indeed, as per photo of your socket attached.

And 2 pin sockets are usually a much lower current rating than a 3 pin earthed socket, probably not enough for your EV charger, hopefully the circuit is protected by the correct rated fuse or circuit breaker.

This version of VAG PHEV is only able to charge at 3 kW max, and with the "reduced charging" option activated it will even go down to 1 kW. 
Indeed, the user should check the socket (and circuit) power rating, but without grounding it's a no-go...