Your kit should include:

1 - Battery
1 - Battery Holder
4 - Flat Top RGB LED
4 - Red Wires
4 - Blue Wires
2 - Wood Screws
1 - Ornament

Give each screw about 3 twists.  You don't want them falling out but you want to keep enough room to wrap wires around them.

Match the flat side of the LED to the flat side of the engraving.  Alternatively you can also match the long and short legs to the flat side of the engraving.  Long legs are positive and short legs are negative.  The flat side marks the negative on the engraving so match the short leg to the flat side.  Once all LEDs are in place, flip the board over. 

Bend LED legs one going down and one going up (make sure to keep bending consistent on each LED (if you bend the negative leg down and the positive up repeat for all LEDS)

*Note: Do one color of wire completely before moving on to the other color (do all positives then all negatives)

You want to have the insulation as close the the LED as possible to avoid possible shorts.  Wrap the wire around the leg 3 or more times then bend the leg flat.  After the leg is flat bend it back towards itself at the halfway point.  (Optional step is to cut off excess wire with wire cutters) Make sure you wrap all the positive legs with red wire and all negative legs with blue wire.

Once all of your LEDs are wrapped with wire, gather all of one color up in your hand.  Line up the insulation so each wire is the same.  Grab your battery holder and match the red wire with the red wires and the black wire with the blue wires. Give the wires a twist then wrap them all around the screw 1-2 times.  Tighten screw to secure wires.

The battery sits in the battery holder and is held in place once the battery holder is closed.