Question on Wiring for a new light fixture

I am replacing a old florescent light with a LED.

I have two light switches that control the light. In the wiring box, there are two white, two red, two black and one ground/copper wire. I did not take a picture prior to undoing the wiring on the old light. The two black wires as shown were capped as it. I only removed the white, red and ground wire from the old light as shown.

Based on the new light (pic) I am looking for thoughts in wiring this led correctly.