There are several biological methods to control beetles such as Neem spray which is most effective against the larval stages. Pyrethrum will control beetles. Netting will keep the beetles off the vegetable garden too. Look also for lady beetle larvae, little alligator-like creatures that eat even more pests than their parents do. The larvae of the convergent lady beetle are charcoal gray with orange markings.
Lady beetles help control aphids, mites, and mealybugs.
Besides the Ladybird Beetle, here are a few more beneficial beetles that you might be glad to see appear in your garden. They produce just one generation per year, and adults hibernate in the soil. Ground beetles like the shade of low vegetation such as clovers and low growing weeds. They feed at night on caterpillars, grubs, and slugs. Ground beetles also eat eggs or larvae of ants, aphids, Colorado potato beetles, flea beetles, nematodes, spider mites, and thrips.