Grow, as in This bush puts forth new shoots each spring. [First half of 1500s]
Bring to bear, exert, as in We'll have to put forth a great deal more effort. [c. 1400]
Also, set forth. Offer for consideration, as in She put forth at least three new ideas. [Mid-1300s]
Bring to notice, publish, as in The appendix puts forth a fresh analysis of events. [Mid-1500s]
See set forth.