Wiring Light Fixture with 2 Sockets into Junction Box with 2 White, 2 Black, and 1 Red Wire

I am installing a light fixture in the kitchen. How do I wire it?

The light fixture has:

• 2 light bulb sockets
• 2 black wires (one coming out of each socket)
• 2 white wires (one coming out of each socket)
• A bare metal ground wire

My junction box in the roof has:

• 2 black wires
• 2 white wires
• 1 red wire
• 1 ground wire

I tried following wiring and it didn't work when I turned the switch on:

• First black from fixture to first black from box
• Second black from fixture to second black from box
• First white from fixture to first white from box
• Second white from fixture to second white from box
• Ground from fixture to ground from box
• Left red disconnected and covered it with cap.