https://infogalactic.com/info/Father_Time

Father Time is the anthropomorphized depiction of time.

Father Time is usually depicted as an elderly bearded man, dressed in a robe and carrying a scythe and an hourglass or other timekeeping device (which represents time's constant one-way movement, and more generally and abstractly, entropy). This image derives from several sources, including the Grim Reaper and Chronos, the Greek Titan of human time, reaping and calendars, or the Lord of Time.

Around New Year's Eve, the media (in particular editorial cartoons) use the convenient trope[1] of Father Time as the personification of the previous year (or "the Old Year") who typically "hands over" the duties of time to the equally allegorical Baby New Year (or "the New Year") or who otherwise characterizes the preceding year.[2][3] In these depictions, Father Time is usually depicted wearing a sash with the old year's date on it.

https://infogalactic.com/info/Baby_New_Year

The Baby New Year is a personification of the start of the New Year commonly seen in editorial cartoons. He symbolizes the "birth" of the next year and the "passing" of the prior year; in other words, a "rebirth".[1] Baby New Year's purpose varies by myth, but he generally performs some sort of ceremonial duty over the course of his year such as chronicling[2] the year's events or presiding over the year as a symbol.[3]

The myth most associated with him is that he is a baby at the beginning of his year, but Baby New Year quickly ages until he is elderly (like Father Time, with whom he is often associated[4]) at the end of his year. Very rarely is the Baby New Year depicted as any age other than a baby or as a very old man. Some stories, especially those with depictions of years past, will have him bear a strong likeness to key events in his time.[5] At this point, he hands over his duties to the next Baby New Year, while he either dies or remains in this state and retires.[6]

While these are secular myths, I see a likeness to God the Father as Father of Time (Father Time) and to the infant Christ as being like Baby New Year, as Christ brings about the opportunity of new life, new birth, and ultimately of the salvation of souls.