The defeat – which saw United trail by three goals at one stage before Bruno Fernandes’ penalty and Paul Pogba’s header – knocked Ole Gunnar Solskjaer’s men out of the Champions League.
The third of the German side’s goals was scored by Justin Kluivert after neither United captain Harry Maguire nor de Gea could intercept Angelino’s deflected cross before the Dutchman clipped the ball home.
And former United midfielder Scholes claimed de Gea was scared of sustaining an injury and therefore not only made himself smaller but did not look to claim the cross with any conviction.
‘David de Gea bottles it here [third goal], he is scared of getting himself hurt,’ Scholes told BT Sport. ‘It [the cross] should never go across the box like that.
‘As a goalkeeper, come out and make yourself as big as you can.
‘You might get smashed in the face and you might get injured, but he [de Gea] turns his back away. He actually makes himself smaller, which is criminal for such an experienced goalkeeper.’
Scholes also slammed England centre-back Maguire and questioned his mobility for the goal, labelling him ‘wooden’ and ‘very stiff.’
But the former midfielder also criticised the squad following Maguire’s post-match interview, in which he claimed United were not ready for the opening 20 minutes in Leipzig.
And while Scholes maintained the ‘disaster’ of the loss in Istanbul earlier in the group stage is the reason United are out, he was left baffled as to why the club started so slowly against Julian Nagelsmann’s men.
‘Harry Maguire’s interview was worrying, saying we weren’t ready and at it for the first 20 minutes,’ Scholes continued.
‘How can you not be up for such a big game and such a tough game coming to Germany?
‘They should never have been in this position in the first place, but they are, and they are not ready for the first 20 minutes.’