Speaking to BT Sport after the match, Osman said: "So far this season, there's been too many performances that haven't been up to the standard you expect but they've shown what they're capable of out there on the field today.
"I thought Gomes was terrific but I thought Davies deserved a lot of credit next to him.
"He really got around and helped to set the tempo and the team around him really did respond.
"If they can perform like that more often than not then those performances will bring points."
The win lifted the Toffees up to 12th in the table on 10 points after nine games after a first league triumph since the beginning of September.