Chris Wood opened the scoring for Forest after just 15 minutes before Morgan Gibbs-White sealed all three points for his side when he finished past JordanPickford just after the hour mark.
The victory lifted Forest up to second in the Premier League table, while Everton are now just three points above the drop zone.
And asked what Sean Dyche's message was in the dressing room after the game, Broja replied: "We had a few good performances on the run, and then today was obviously a frustrating afternoon.
"So the manager just kind of reiterated the fact that it was a frustrating afternoon, but we've got to keep our minds on it, and we've got to bounce back.
"We definitely could have got more from the game, 100%, but we need to bounce back."
He added: "We had a few good performances on the bounce, playing difficult opposition, and then came here today wanting more at home.
"I'm pretty sure we had quite a lot of the ball, but it was kind of a scrappy game. They were kicking it long a lot of times and winning a lot of second balls and things and just breaking from there.
"Like I said, it was a bit of a scrappy game, but we definitely wanted more from this, but we need to bounce back."
The Albania international moved to Goodison Park on loan from Chelsea on deadline day but was sidelined for the opening months of the season as he continued to recover from an existing Achilles injury.
His return to action comes at a point in time when his side has only managed to score 15 times this season, the lowest in the Premier League bar Southampton, but Broja has pledged to do everything he can to end the problems in ...