All perfect praise be to Allah, the Lord of the worlds. I testify that there is none worthy of worship except Allah and that Muhammad is His slave and Messenger.
There is no doubt about the virtue of fasting the day of ‘Aashooraa’. The Prophet was asked about the fasting of the day of ‘Aashooraa’, and he said, "It atones the sins of the previous year." [Muslim]
As regards saying that it is equivalent to such and such, then this needs evidence, and there is no evidence to prove this. Therefore, what is mentioned in the image you received is not true; rather, it is fabricated.
The most evident sign that it is fabricated is saying that a person who fasts on this day gets the reward of 1,000 martyrdoms. The scholars stated that among the signs that a hadeeth is fabricated is when it includes a very great reward for very little work.
Therefore, it is not permissible for you to send this message to others unless you want to clarify that it is false and fabricated.
There is no authentic evidence about the reward of fasting on the day of ‘Aashooraa’ except that it expiates the sins of one year, as stated in the above-mentioned hadeeth.
Allah knows best.