"more encouraged" is correct and usable in written English.
You could use it to describe a person's feelings when looking to the future: "She felt more encouraged about what was to come."
So why weren't we more encouraged?
Dockery, usually the nickel back, seemed slightly more encouraged.
Kopitar, though, seemed more encouraged than discouraged by the latest loss.
Now I was even more encouraged that he just might show up this season.
"I'm getting more encouraged, instead of going the other way," D'Antoni said.
It is more encouraged for premature babies because they need the warmth to survive.
"I'm more encouraged than I've been in a very long time," she said of Mr. Obama.
"I am more encouraged today than I was a month ago," says Murphy.
Bucs 27, Panthers 21 (OT) The Bucs' brass presumably couldn't feel more encouraged about their now 6-4 club.
"I think people will grow more encouraged that we are finally seeing the light at the end of this tunnel".
I'm never more encouraged than to hear someone talk about how eerie it is that I move like my father".
