Trotters manager Owen Coyle has raided his former club for two players who were mainstays in his side throughout the Lancashire club's time in the Premier League
Both players have now been signed by manager Owen Coyle twice after he brought the pair to Burnley during his time as manager at the club.
The Scot expressed his faith in his new players upon their signing, telling the club's official website: "Both Chris and Tyrone are top players, and have shown that they have the ability to compete successfully at the highest level.
"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."
Right-back Mears made 44 appearances for Burnley in the Championship last term as they finished just outside the play-off positions in eighth.
He expressed his delight at being able to work with Coyle again and make a return to playing at the top level of English football.
He said: "I'm really looking forward to working with a manager I've worked with before and playing in the Premier League. From the outside looking in, this has seemed like it is a club going in the right direction.
"It wasn't a difficult decision at all. I know exactly what the manager expects from his players and I'm more than ready for it."
Eagles, who is a former Manchester United trainee, struck a career high of 15 goals for the Clarets last term and stated that he hoped to continue that form into next season.
He said: "I know a few of the lads already, like the skipper [Kevin Davies] and Stuart [Holden]. I know that it is a good squad so the challenge for me will be to work hard and then look to contribute.
"I am an attacking midfielder and I will certainly be looking to chip in with some goals."