Change the following sentence into conditional type 2 and type 3: they didn't win the match because they didn't play better

Kelas: SMA
Pelajaran: English
Kategori: conditional
Pembahasan: 

if the reality is using past tense as mentioned above, which is 
'They didn't win the match because they didn't play better.'
Then it can only be transformed into type 3 to show regret, but not type 2 as it shows imagination.
Conditional type 3 from that sentence is as follows
'If they had played better, they would have won the match.'
Conditional type 2 form would be 
'If they played better, they would win the match.'
Yet, it doesn't sound logic as the real situation is already in past tense.