Hello Eyal,
The CC2564 provides BLE too. Therefore, you can connect to iOS devices without the authentication chip. An examples is located here: http://processors.wiki.ti.com/index.php/CC256x_MSP430_Bluetopia_Basic_KeyFobDemo_APP
FYI. The CC254x device is supported out of a different forum. Please post CC254x questions in this forum: http://e2e.ti.com/support/low_power_rf/f/538.aspx.
Regards,
Miguel