Let’s see… With one moon there are only 2 truly dark nights per month. so call it 1 out of 14 nights. With a second moon in the sky, located in a different orbit about the same as the iesiting one we can expect to see about the same motion . Therefore we would have a truly dark sky every 1/14×1/14 days or 1 in 200 days.
A developing tribe might worship such a rare event since it would appear about twicea year: winter/ summer. or spring /fall. They might burn branches to light he sky. The might be surprised at the number of stars in the sky and decide they were ancestors. I could go on…
Night creatures would not be as plentiful since they would only be safe from predators twice a year instead of once per month. You might find one small critter that only eats and mates during those times. It would go into hibernation during the intervening months.
The NASA program budget would be twice what it is today to fund fund landing on both moons. China would establish have a base on the second moon.