Lawyers for Donald J. Trump filed an appeal on Monday evening seeking to dismiss or drastically reduce the $454 million judgment levied against him this year in a New York civil fraud case, the latest maneuver in the former president’s multiple legal battles.

The filing made a raft of arguments questioning the judgment handed down in February by Justice Arthur F. Engoron, who found that Mr. Trump had conspired to manipulate his net worth and lied about the value of his properties to receive more favorable terms on loans.

The suit was brought by Attorney General Letitia James of New York, a Democrat, who hailed her victory over Mr. Trump as having demonstrated that “there cannot be different rules for different people in this country.”

In their lengthy appeal to the First Department of the State Supreme Court’s Appellate Division, however, Mr. Trump’s lawyers argued that many of the deals in question in Ms. James’s suit had occurred long ago and that the statute of limitations for violations it cited had run out.

They also questioned the size of the judgment awarded by Justice Engoron, calling it disproportionate and suggesting that the judge had overcounted damages and miscalculated the profits from some of the properties named in Ms. James’s suit.

Taken as a whole, the appeal — peppered with talking points from Mr. Trump’s campaign and his public criticism of the case — seeks to show that the former president’s dealings were business as usual, and that no harm was caused.