Crewe boss Steve Davis has accused Wes Thomas of diving to win a penalty.
The on-loan striker tumbled inside the box under a challenge from Kevin Bond in the 18th minute.
Izale McLeod stepped up to net from the resulting penalty, adding to Thomas’ earlier goal in Saturday’s Fratton Park win.
That two-goal lead proved unassailable for the visitors as Pompey made it 10 points from a possible 12 in recent weeks.
Davis, however, was seething over Thomas’ role in that second goal.
And he believes the front man made the most of Bond’s challenge.
He said: ‘It wasn’t a penalty. He (Bond) didn’t touch him for the second goal.
‘I thought he (Thomas) dived. If you watch it, you can see that he dived.
‘There was no contact, so I thought that was a poor decision.
‘In fact, I thought the performance of the referee (David Phillips) – all three officials really – was very incompetent for both teams.
‘He got a lot of decisions wrong and the goals changed the game.
‘We could have avoided the first one and the penalty certainly made a difference.
‘We could have gone in 1-0 down, even though we hadn’t played particularly well in the first half.
‘The lads came out and did better in the second half.
‘I sent them out to restore a bit of pride, and that is what they did without really creating any clear-cut opportunities to rescue something from the game.’
Crewe were, unquestionably, a different side after the break, bossing possession.
Despite their time on the ball, however, they struggled to break down Pompey.
And Davis believes their start was costly.
He added: ‘I had a little go at the players at half-time because we just didn’t start the game well enough.
‘We normally start games at a good tempo and we didn’t on Saturday.’