Hi JerseyJeff,
You didn't say which Light Kit you bought but I assume it's the Shad LED-SH48-T-TS (CG) Kit
The rear light of the Trophy is easily removed after unscrewing the white nylon nut underneath
the pillion seat. Withdraw the rear light unit and you will find the Plug & Socket connector.
The Multi Plug from the Trophy rear light unit plugs into the socket of the Trophy harness.
You then need to decide where to splice the connections in to the Trophy wiring.
The wires of the Trophy Light Unit are coloured differently to those of the Trophy Harness

The wiring colours at the Trophy Harness Socket and at the Rear Light Multi Plug are :
Main Harness Side ( Socket ) |
Tail Light & License Plate +ve | Yellow |
Brake Light +ve | Green / Purple |
Ground -ve | Black |
Offside / Right Indicator +ve | Green / White |
Nearside / Left Indicator +ve | Green / Red |
Rear Light Unit Sub Harness Side ( Plug )Tail Light & License Plate +ve | Red |
Brake Light +ve | Blue |
Ground -ve | Black |
Offside / Right Indicator +ve | Yellow |
Nearside / Left Indicator +ve | Yellow / Green |
( Where two colours are listed the first is the main colour,
and the second is the colour of its stripe ).
This is the connector plug for the Triumph light unit :

From the Admore SH48 Light Kit instructions :

You should now be able to work out where to connect the wires.
NOTE : The reference to "Canbus-equipped motorcycles" may or may not apply.
The problem that
could be encountered is that if you connect the Admore RED wire
to the Trophy Tail Light circuit, this
may result in the Trophy Cruise control
being disabled, as unexpected voltage could be seen on the interconnected Brake light circuit
( the LED's are combined to provide dual brightness ), as the Cruise control is deactivated
when the brake lights are applied.
There may not be a problem at all, so I would start by connecting the Admore RED wire
to the Trophy Tail Light circuit, but with a temporary connection until you have chance
to get out and test that the Cruise control still works.
If the Cruise control IS disabled after making this connection, disconnect it
from the Trophy Tail light circuit, and connect it to some other positive supply
that becomes Live when the Ignition is switched on.
Finally, if you want to make a really neat "Plug and Play" installation,
I found a source for the exact Multi plug connector used for the Trophy Rear Light.
They are in the U.S. ( and also ship to the UK for a very reasonable price ! ).
If you buy the male plug, female socket, and pins you can make up your own
interface lead with the Admore wires connected in between the two for a
"Plug and Play" installation. Here are the details :
Ballenger MotorsportsParts needed :
1 x CONN-75822 5 Way Connector Plug Kit for NTK AFRM ( Harness Side ) @ US $6.99
1 x CONN-75823 5 Way Connector Receptacle Kit for NTK AFRM ( Sensor Side ) @ US $6.99
Each Kit is complete with a set of seals and pins to solder your wires onto

Cheers

