Salatul Dhuha is a Bid’ah like Salat Al-Taraweeh because the Prophet (SAWA) never prayed nor approved it. Even in Sunni books like Bukhari, there are Hadeeths that the Prophet never prayed Salat al-Dhuha.
We pray any time recommended prayers of two Rak'ats we can repeat it any number times. We also pray Salat Ja'far Al-Tayyar which is mentioned even in Sunni books as Salat al-Tasbeeh which two Rak'ats then two Rak'ats which include 300 times of Tasbeehat Arba' ( SUBHANALL WAL HANDULILLAH WALA ELLALLAH WALLAHU AKBAR).
There are two ways to perform this very authentic Salah.
Wassalam.