According to the Blue book of gun values:
There was a Model 1894CL carbine in 32-20 full magazine tube with barrel band and with a button rifled barrel manufactured 2005-2007.
A model 1894CL with a 22" barrel and a 2/3rds magazine tube in 32-20 manufactured 1988-1994. Barrel rifling unspecified.
A model 1894 Cowboy and CowboyII in 44-40 manufactured 1997-1999. Barrel rifling unspecified.
There was a 1894 Cowboy Competition model in 38 spec. or 45 LC with the deep cut Ballard rifling, manufactured 2002-2005.
There was a 1894 Century Limited in 44-40 only, manufactured in 1994 only. Barrel rifling unspecified.
I use to own a Century Limited in 44-40 but never fired it. Beautiful rifle, but eventually sold it. I am certain it was not a micro groove barrel. I think maybe button rifled.