The phrase "small twigs" refers to the thin branches that grow from a tree or plant. They are typically smaller in size compared to the thicker branches. Full definition
Eucalyptus oil is the distilled essence of the leaves and small twigs of the eucalyptus tree, native to Australia but now grown in India and other hot climates. (supernaturalacnetreatment.com)
This is exactly how male red velvet mites attract females, except in their case the love garden is full of sperm that has been deposited on small twigs and stalks. (discovermagazine.com)