From Wikipedia: "The resin-like gum comes from the dried sap extracted from the stem and roots and is used as a spice. The resin is greyish-white when fresh, but dries to a dark amber colour. The asafoetida resin is difficult to grate and is traditionally crushed between stones or with a hammer. Today, the most commonly available form is compounded asafoetida, a fine powder containing 30% asafoetida resin, along with rice flour or maida (white wheat flour) and gum arabic.
Ferula assa-foetida is a monoecious, herbaceous, perennial plant of the family Apiaceae. It grows to 2 m (6.6 ft) high, with a circular mass of 30–40 cm (12–16 in) leaves. Stem leaves have wide sheathing petioles. Flowering stems are 2.5–3 m (8.2–9.8 ft) high and 10 cm (3.9 in) thick and hollow, with a number of schizogenous ducts in the cortex containing the resinous gum. Flowers are pale greenish yellow produced in large compound umbels. Fruits are oval, flat, thin, reddish brown and have a milky juice. Roots are thick, massive, and pulpy. They yield a resin similar to that of the stems. All parts of the plant have the distinctive fetid smell." https://en.wikipedia.org/wiki/Asafoetida
So it's a perennial herb in the celery family Ferula assa-foetida. It's not closely enough related to Lovage (Levisticum officinale) for me to want to try faking this!