See part 1 here: https://musictechproduction.com/guitar/link-triads-with-scales/
Minor triad with Dorian scale
It’s pretty much the same as the natural minor scale, or the aeolian scale, except the raised 6th.
I like this shape because it is the extended of the minor pentatonic shape. See this for more detail about the minor pentatonic
Major triads with Mixolydian scale
Mixolydian is similar to Ionian or major scale, except the major 7th becomes minor 7th.
Major triads with Lydian scale
The root position is quite tricky with 2 whole steps. So I prefer playing this shape shifted to the right as below
This shapes can be linked to add more octaves