Motorola S805 headset worked fine with T60 laptop

Solution I found with the same devices is to properly par the devices.

Refer http://direct.motorola.com/ens/s805/QuickstartGuide.pdf

It basically states :

1.Ensure the headphones are turned off (L indicator light not blinking).
2.Press and hold L button. After about 6 seconds, the L indicator light becomes steadily lit.
3.Release the L button. The L indicator light remains steadily lit.

If the L indicator light is flashing or not steadily lit, repeat steps 1 through 3

Now on the T60:

Search for Bluetooth Devices as you would normally.
The T60 lists Bluetooth devices it finds.
Select Motorola S805.
Select OK or Yes to pair your headphones
with your phone.
Enter the passkey: 0000
Select OK.
When your headphones successfully pair
with your phone, the L indicator light
changes from steadily lit to rapidly flashing.

That's it next time you start a audio program on T60 output will be sent to Motorola Headphones

• Universal Bluetooth headset for Apple iPhone 6/5s/5c/5, iPhone 4s/4, Samsung Galaxy S5/S4/S3, PC Laptop, and other bluetooth device;
• Deep Sleep mode extends battery life;