Midfielder Eagles, 25, and defender Mears, 28, have both agreed three-year contracts.
"Both Chris and Tyrone are top players and have shown that they have the ability to compete successfully at the highest level," said Coyle, who knows the players from his time as boss of the Clarets.
"I have worked with them both before and know what they will bring to the club in terms of character and commitment and along with Nigel Reo-Coker, we have added real quality to the squad."
Support the USA national team with an official 2013 Centennial soccer jersey from Nike. Its Official.
The Nike Hypervenom is the latest cleat silo from Nike. It will change your game and is worn by the game's top players.
Barcelona will wear this new home soccer jersey next season. They also have a new away jersey. Get them both.
The USA will wear their blue away jersey against Jamaica in their World Cup qualifier on Friday night.
Jamaica is in need of a win against the U.S. Get the jersey of the Reggae Boyz.
Manchester City will try and win back the Premier League title with this new soccer jersey from Nike!
Germany is one of the top teams ever and they will play the US on Sunday.
The hoop soccer jersey is classic and cool. The USA hooped jersey is perfect for every fan. Get in the Gear.
England will debut their new away jersey against Brazil at the Maracana Stadium on Sunday. Get in the Gear
Neymar's move from Santos to Barcelona is no doubt the biggest summer transfer.