When a bullock, or a sheep, or a goat, is brought forth, then it shall be seven days under the dam; and from the eighth day and thenceforth it shall be accepted for an offering made by fire unto the Lord. (Leviticus 22:27)
That is, with its mother. A newborn animal was not immediately acceptable as an offering (see on Ex. 22:30). There was no upper age limit for offerings, except as specifically stated. Gideon offered a bullock seven years old (Judges 6:25).