The Minnesota Twins made two separate trades yesterday, sending starting second baseman Tim Teufel to the New York Mets in a three-way deal and catcher Dave Engle to the Detroit Tigers.

The Mets landed Teufel -- who had asked to be traded since Manager Ray Miller benched him in September -- in a five-player transaction completed after they had dealt catcher Ronn Reynolds and right-handed pitcher Jeff Bittiger to Philadelphia in a four-player trade.

For Teufel and minor league outfielder Pat Crosby, the Mets sent outfielder Billy Beane (AAA Tidewater's home run and RBI leader in '85), AAA left-hander Bill Latham and minor league pitcher Joe Klink to the Twins. From the Phillies, New York received right-hander Rodger Cole and first baseman Ronnie Gideon.

Teufel, a right-handed hitter, batted .260 with 10 home runs and 50 RBI for Minnesota last season . . .

The Tigers sent infielder Chris Pittaro and outfielder Alex Sanchez to the Twins for Engle, and put catcher-infielder Marty Castillo, a force in their 1984 World Series triumph but a .119 hitter in 84 at bats last year, on unconditional release waivers.

Engle, 29, has a five-year batting average of .268 . . .

Third baseman-catcher Floyd Rayford and newly acquired infielder Jackie Gutierrez, two Baltimore Orioles who filed for salary arbitration, have agreed to terms. Also signed: pitchers Storm Davis, Rich Bordi and Brad Havens and third baseman Tom O'Malley.