2 schools of thought
The definition used by at least 90% of the shooting community is a carbine is a smaller version of a rifle. Usually this means a shorter barrel.
The Jeff Cooper school of thought is a less powerful long arm shooting an intermediate or smaller power cartridge including pistol calibers. This school feels that honest to goodness rifles shoot stuff that was used by most of the world's militarys in the first half of the 20th century. In other words, 8mm Mauser, .30-06, .303 Brit, etc. are rifle cartridges. .308 NATO is one of the latest and last of the rifle power category. Intermediate stuff includes 5.56mm NATO and 7.62x39 Combloc. Put another way, the M-16s, AR-15s, AK-47s, AKMs, AK-74s, are all carbines while M-1 Garands, M1903A3 Springfields, Lee-Enfields, 98k Mausers, M-14s, M-1As, FN-FALs, Mosin-Nagants, and many others are rifles. It's easy to get confused here because the "k" in the WW2 German 98k Mauser stands for "karbine"!
In the case of the Taurus .22 rifles, the difference is probably barrel length.
Edmund