I have also problems with synging GMAIL (contacts, mail ..) and also exchage doesn't work for me. I have only a message "Your emails will be synced in a moment, please wait .." and nothing happend.
DISCLAIMER You need to have an unlocked bootloader to use this ROM & kernel. Also I or any contributor in the software DOES NOT take responsibility of damages caused to your phone due to this ROM.
1. Copy ROM zip and gapps zip to sdcard
2. Flash any kernel which has recovery or use TWRP (if you do not have any recovery yet).
3. Reboot device and go to recovery by pressing Vol-UP when LED is pink
4. If coming from 4.3, or 4.2 ROM wipedata/factory reset your phone
5. Flash ROM zip
6. Flash Gapps zip
7. Reboot and enjoy.
Check out the ROM source on github. Open source, in the spirit of community kangage.
CREDITS
Thanks to all device maintainers of Sony devices on CM/AOKP/Omni/PA/PAC as everyone working on the device helps each other into making better ROMs.
Also thanks to Sony Mobile for being so helpful to developers.
XDA:DevDB Information [ROM][4.4.x] AOKP :: kitkat :: nightlies | test builds :: mint {T}, a ROM for the Sony Xperia T
Contributors championswimmer, @FXP, @Bin4ry, @Kali-, @Entropy512, @cdesai, @codeworkx ROM OS Version: 4.4.x KitKat ROM Kernel: Linux 3.4.x Based On: AOSP
Also, this app allows you to come back to CWM if you don't like it. This app works on all custom ROMs (that have FXP-based kernel) and allows installation of TWRP to FOTAKernel partition.