The key to three-way switches is the dark screw.
And different brands of switches put dark screw on different side of switch.
So, lets get out of this mess with a bit of testing.
You have two switches with 3 wires on each switch for a total of 6 wires.
Take out both switches and separate wires for testing.
Turn on power and test each wire to bare copper wire.
One and only one wire will test Hot.
The hot wire goes to dark screw on switch1.
The other two wires in that box go to either screw on switch1.
One switch done, one switch to go.
Move switch1 lever to down position.
Turn on power and test 3 remaining wires.
One wire will test hot. Mark this wire.
Move switch1 to up position, and test 3 remaining wires again.
A second wire will test hot. Mark this wire.
The 2 marked wires attach to either brass screw on switch2.
The third wire attaches to dark screw.
Both switches done.