Can beetles mate with broken tails?

Absolutely. Tail cutting does not affect the reproduction of turtles, as long as the reproductive system of the money turtle is perfect, it will not affect it at all.

The male turtle weighs 250g, sexually mature, with long dorsal carapace, sunken ventral carapace, large individual, long tail and cloaca far from the posterior edge of ventral carapace. Female weighing 300g, sexually mature, broad and short carapace, flat carapace and short tail.