Alex Rodriguez has some more explaining to do.

Just days after the Yankees star gave his public steroid “confession,” his story continues to show more holes than a donut shop.

Two sources confirmed to The Post yesterday that Rodriguez has worked with shady personal trainer Angel “Nao” Presinal, who has been linked to steroids and is banned by Major League Baseball.

Sources saw Presinal with Rodriguez frequently in 2007 and several times last year, including once outside of Yankee Stadium and another time in Boston during a Yankees-Red Sox series.

When asked about for his ties to Presinal, Rodriguez ducked the question.

“No reaction for now,” Rodriguez said. “I am really focusing on getting ready to play.”

Investigators for MLB are expected to meet with Rodriguez soon and surely will be interested in Rodriguez’s dealings with Presinal. During his press conference Tuesday, Rodriguez never mentioned the trainer and instead said his cousin, later identified as Yuri Sucart, was the only one involved with his steroid use.

Presinal works with many Latino players, and drew the interest of MLB after a 2001 incident that was included in the Mitchell Report. Law enforcement searched the bags of the Cleveland Indians at an airport in Toronto and discovered steroids in a duffel bag that Juan Gonzalez, a Presinal client, said the bag belonged to the trainer. Presinal said the bag was Gonzalez’s.

MLB soon banned Presinal from entering restricted areas at stadiums, such as clubhouses. He was removed from the Texas and Anaheim clubhouses in 2002, according to the Mitchell Report.

Presinal has denied any knowledge of steroid use by his clients. MLB cannot prevent players from working with Presinal on their own, and many do. He also served as a strength coach for the Dominican Republic in the 2006 World Baseball Classic, catching MLB off guard. He will not be permitted at next month’s WBC.

“I am aware of the individual, but he has no association with the New York Yankees,” Yankees GM Brian Cashman said of Presinal. “Did he have association with individual players? You would have to ask the players.”

About a dozen media members camped outside of the Miami home of Sucart, who was identified as the mystery cousin by ESPN. Camera crews and reporters waited outside the gates of the pink house, hoping to talk to the man who Rodriguez said bought the steroids in the Dominican Republic.

Sucart never appeared, but Roger Ball, a family friend, gave a statement and asked the media to leave. He said Sucart, 46, was not home.

“The family wants to be left alone,” Ball said. Additional reporting by George A. King III