new MyBackground().execute();

MyBackground mBackground=new MyBackground();
mBackground.p1=1;
mBackground.p2="tets";
MyBackground.execute();

public class MyBackground extends AsyncTask<Void, Void, Void> {
    ...
    private int p1;
    private String p2;

    public MyBackground(int p1, String p2) {
        this.p1 = p1;
        this.p2 = p2;
    }
    ...
}

MyBackground myBackground = new MyBackground(1,"tets");
myBackground.execute();
// or
MyBackground myBackground = new MyBackground(1,"tets").execute();