The recent panels are from Old Man Hawkeye, which means that it’s not “our” Bucky, as in the main timeline (616) Bucky. It’s Earth-807128, so he first appeared in Old Man Logan:
Hence the eyes
It’s a timeline I don’t follow, but here’s the gist of it: villains took over the US, BuckyCap fought Red Skull and lost, and then Red Skull turned him into the Winter Soldier and kept as his secret weapon.
Now we reach Old Man Hawkeye #6:
Bucky was sent to kill Bullseye, and ended up dead himself.