The baby got a needle and he was crying so hard, he wasn't making any sounds.
この場合、次のような言い方ができますよ。
ーThe baby got a needle and he was crying so hard, he wasn't making any sounds.
「その赤ちゃんは注射をされ、声が出ないほど大泣きしていた」
He was crying so hard, he wasn't making any sounds. で「声が出ない程、激しく泣いた」と言えます。
ご参考まで!