Liriope 

Liriope, sometimes called lilyturf, is a tough, grass-like perennial commonly used as a groundcover, border plant, or edging in gardens. It forms dense clumps of narrow green or variegated leaves and produces small spikes of purple, lavender, or white flowers in summer, often followed by dark berries. Liriope tolerates a wide range of conditions, including sun or partial shade and periods of drought once established, making it a dependable landscape plant.

It is generally considered non-toxic to dogs and cats, although eating large amounts of the foliage or berries can cause mild stomach upset, such as vomiting or diarrhea. It is therefore a relatively pet-friendly landscape plant, but pets should still be discouraged from regularly chewing on it, particularly because individual animals can react differently to plant material.