Synonyms for Sprout:

n.

go up, escalate, double, go through the roof, step up, add to, soar, multiply, increase, raise. offshoot, issue, runner, tendril, boomerang kid, cherub, kin, child prodigy, adolescent, imp, bine. compost, bonsai, deadhead, cross-fertilize, bed out, drill, aerate, cross-pollinate, feed. blade, anther, bur, bulb, boll, beanstalk, bract, aerial root. loom, take shape, rear its (ugly) head, appear, reappear, appearance, resurface. chickpea, black-eyed pea, bean curd, bean sprouts, broad-bean, bean, coffee bean, cocoa butter, cocoa bean, coffee. blossom, bloom, come out, choke, fade, come up, bear, climb, die back. erupt, descend on, come and go, break through, pop up, crop up, spring up. beginning (noun)
derivation, genesis, conception, embryo, creation, inauguration, cradle, preparation, commencement, start, hatching, prelude, dawn, introduction, inception, origin, source, emergence, birth, stem, earliness, spring, beginning, infancy, nativity, nascency, babyhood, precursor.
germinate (noun)
grow, take root, burgeon, shoot up.
sprout (noun)
burgeon forth, shoot, bourgeon, germinate, spud, pullulate.
vegetables (noun)
asparagus, arugula, artichoke, bamboo shoots, Bok Choy, acorn squash, bell pepper, beet, aubergine, beetroot.
youngster (noun)
innocent, waif, baby, minor, sprig, juvenile, lad, toddler, child, infant, girl, sapling, fledgling, lass, boy, urchin, newborn, kid, slip, youngster, stripling.

v.

begin (verb)
develop, commence, begin, bud, initialize, conceive, induct, prepare, create, form, undertake, initiate, embark, inaugurate, germinate, hatch, originate, emerge, introduce.
develop (verb)
germinate, bud, spring, shoot up, grow, burgeon, shoot, take root.

Other synonyms:

grow, bine, tendril. shoot up. offshoot, runner. begin
crop up.
bloom
burgeon.
Other relevant words:
bear, take root, bloom, burgeon forth, add to, runner, come up, increase, pullulate, burgeon, offshoot, issue, grow, spud, appear, shoot up, tendril, blossom, spring up, come out, shoot, bine, bourgeon.

Usage examples for sprout

  1. You have given me a new life, and the little sprout that is green within me would wither again if I had to return to my mother. – The Complete Historical Romances of Georg Ebers by Georg Ebers
  2. Friendships ripen and enmities deepen quickly on the trail, seeds of discord sprout and flourish in the cold. – Laughing Bill Hyde and Other Stories by Rex Beach
  3. But when she does, you must listen; and as soon as she is close to you throw away the comb, and it will sprout up into such a forest that she will never get through it at all. – Old Peter's Russian Tales by Arthur Ransome