bottle baby

noun

an infant fed by bottle from birth, as distinguished from one who is breast-fed.

Origin of bottle baby

First recorded in 1890–95

Dictionary.com Unabridged Based on the Random House Unabridged Dictionary, © Random House, Inc. 2018

This is the filler fidgeted for by Juno before she weaned Hercules—who was no bottle-baby—and fed to him afterward.
The Roycroft Dictionary
Elbert Hubbard
I was leadin' in prayer when Elder Bliss was a bottle-baby, at least he looks it if ever I see one.
Mrs. Tree's Will
Laura E. Richards