The duo both completed their moves to Goodison Park from Wigan Athletic earlier this week.
The Toffees captain told the club's website: "Obviously they are two players that the manager knows very well, two players who were big stars at Wigan.
"I know Kone played most of their games and scored most of their goals and was a really big handful. Alcaraz at the back, he unfortunately had a few injuries last season and didn't play as much football as he would have liked but, the same again, he was a very important player for Wigan.
"They are two fantastic signatures to get and hopefully they can come into what is now a good squad and make it a little bit stronger."
Alcaraz featured in just eight games for the Latics last season, while Kone scored 13 goals in all competitions.