No, AxCrypt will not corrupt any files if you put your system in sleep/hibernate mode. AxCrypt will resume the encryption /decryption process once you opened your system(after unlocking your system) .
When you are encrypting your folders which are contain bulk amount files with AxCrypt, you can put your system in sleep mode. AxCrypt will continue the encryption process once your system unlocked.
Please note: When encrypting/decrypting bulk amount fo files, AxCrypt will stop the encryption/decryption process once get some exception.