According to this article, we do :-)

THE LAWS OF PESACH by Rav David Brofsky Shiur #2: The Laws of Pesach Defining Chametz (1)

R. Yosef Karo (Shulchan Arukh 462:1-4) rules in accordance with the view of Rabbeinu Tam and the Rambam, who permit matzot made with fruit juice. The Rema, however, concludes that Ashkenazim should refrain from eating matza ashira, but the elderly and sick may eat matza ashira when necessary.

 

To this day, Sephardic Jews eat matza ashira for the duration of the festival (except for the mitzva of akhilat matza on the first night), while Ashkenazic Jews refrain from eating matza ashira. Some Sephardic Jews refrain from eating matza ashira during Pesach out of fear that the egg matza or other matza ashira products contain water. The Mishna Berura (15) explains that Ashkenazim are concerned with the opinion of Rashi, and are also concerned that the fruit juice mixed with the flour contains some water as well. He adds (18) that one may keep matza ashira in his possession until after the festival.

EDIT 16/4/2016

Here is such a product, made in Bnai Brak here in Israel:

It's made with special flour for matzot, sugar, soya oil, wine and eggs. I'd like to emphasize that this is not matza flour, but flour for matzot.

On the heksher it says, "According to the ruling of Rav Ovadia Yosef" and the Rabbanut of Holon.

I'm still not sure why this was voted down.

According to this article, we do :-)

THE LAWS OF PESACH by Rav David Brofsky Shiur #2: The Laws of Pesach Defining Chametz (1)

R. Yosef Karo (Shulchan Arukh 462:1-4) rules in accordance with the view of Rabbeinu Tam and the Rambam, who permit matzot made with fruit juice. The Rema, however, concludes that Ashkenazim should refrain from eating matza ashira, but the elderly and sick may eat matza ashira when necessary.

To this day, Sephardic Jews eat matza ashira for the duration of the festival (except for the mitzva of akhilat matza on the first night), while Ashkenazic Jews refrain from eating matza ashira. Some Sephardic Jews refrain from eating matza ashira during Pesach out of fear that the egg matza or other matza ashira products contain water. The Mishna Berura (15) explains that Ashkenazim are concerned with the opinion of Rashi, and are also concerned that the fruit juice mixed with the flour contains some water as well. He adds (18) that one may keep matza ashira in his possession until after the festival.

EDIT 16/4/2016

Here is such a product, made in Bnai Brak here in Israel:

It's made with special flour for matzot, sugar, soya oil, wine and eggs. I'd like to emphasize that this is not matza flour, but flour for matzot.

On the heksher it says, "According to the ruling of Rav Ovadia Yosef" and the Rabbanut of Holon.

I'm still not sure why this was voted down.

According to this article, we do :-)

THE LAWS OF PESACH by Rav David Brofsky Shiur #2: The Laws of Pesach Defining Chametz (1)

R. Yosef Karo (Shulchan Arukh 462:1-4) rules in accordance with the view of Rabbeinu Tam and the Rambam, who permit matzot made with fruit juice. The Rema, however, concludes that Ashkenazim should refrain from eating matza ashira, but the elderly and sick may eat matza ashira when necessary.

To this day, Sephardic Jews eat matza ashira for the duration of the festival (except for the mitzva of akhilat matza on the first night), while Ashkenazic Jews refrain from eating matza ashira. Some Sephardic Jews refrain from eating matza ashira during Pesach out of fear that the egg matza or other matza ashira products contain water. The Mishna Berura (15) explains that Ashkenazim are concerned with the opinion of Rashi, and are also concerned that the fruit juice mixed with the flour contains some water as well. He adds (18) that one may keep matza ashira in his possession until after the festival.

According to this article, we do :-)

THE LAWS OF PESACH by Rav David Brofsky Shiur #2: The Laws of Pesach Defining Chametz (1)

R. Yosef Karo (Shulchan Arukh 462:1-4) rules in accordance with the view of Rabbeinu Tam and the Rambam, who permit matzot made with fruit juice. The Rema, however, concludes that Ashkenazim should refrain from eating matza ashira, but the elderly and sick may eat matza ashira when necessary.

To this day, Sephardic Jews eat matza ashira for the duration of the festival (except for the mitzva of akhilat matza on the first night), while Ashkenazic Jews refrain from eating matza ashira. Some Sephardic Jews refrain from eating matza ashira during Pesach out of fear that the egg matza or other matza ashira products contain water. The Mishna Berura (15) explains that Ashkenazim are concerned with the opinion of Rashi, and are also concerned that the fruit juice mixed with the flour contains some water as well. He adds (18) that one may keep matza ashira in his possession until after the festival.

EDIT 16/4/2016

Here is such a product, made in Bnai Brak here in Israel:

It's made with special flour for matzot, sugar, soya oil, wine and eggs. I'd like to emphasize that this is not matza flour, but flour for matzot.

On the heksher it says, "According to the ruling of Rav Ovadia Yosef" and the Rabbanut of Holon.

I'm still not sure why this was voted down.