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.
The injustice/wrong that was reported in the hadeeth is general. Abu Hurayrah, may Allah be pleased with him, narrated that the Prophet said, "Whoever has wronged his brother, in his honor or anything else, should ask for his pardon (before his death), as (in the Hereafter) there will be neither a dinar nor a dirham…" [Al-Bukhaari]
The wrong is generally in regard to blood, honor, and wealth. With regard to lying and cheating, if they do not cause harm nor damage to the wronged person, then they are not among the wrongs that one is obliged to seek pardon for; however, it is obligatory to repent from it, because they are sins related to the right of Allah, the Creator, and not to the right of the creature.
Shaykh Ibn Taymiyyah said, "If someone fabricated a lie against another person, this is impermissible because lying is prohibited for the right of Allah (who prohibited it)..."
However, if this kind of lie causes harm or damage to the person, then it is included in the wrong that a person must seek pardon for. The wrong is assessed according to the harm or damage that is caused to the person, and not according to the lie or cheating.
So if the harm or damage was caused to the person's body or property, then it is an obligation to seek his pardon, but if it is related to honor, then the preponderant opinion that we adopt at Islamweb is that it is enough to supplicate with goodness for the person, and it is not an obligation to seek his pardon, as this may lead to bad consequences (if it was revealed).
Allah knows best.