“Why haven’t the lawyers appealed the bond immediately?”
They haven’t appealed because the law concerning the bond is 100% clear, set out by the state legislature in a statute adopted years ago and routinely applied in such cases.
Trump is allowed to appeal without posting a bond. If he does so, however, then the AG’s office can begin seizing his bank accounts etc. so as to pay off the judgment. There is no automatic stay of enforcement of a judgment just because there’s an appeal pending. The full New York statute is here — https://newyork.public.law/laws/n.y._civil_practice_law_and_rules_section_5519 – but under the relevant portion, CPLR 5519(a)(2), Trump has to post the bond to get a stay pending appeal.
Engoron’s decision is in state court, so the stay is governed by New York law. The judgments in favor of E. Jean Carroll were in federal court, but the federal system has a similar rule, and Trump has already bonded his appeal from the first judgment (the $5 million one).
You can do a search for the term “supersedeas bond” plus the name of your state. Without knowing where you live, I can still be confident that your state’s laws are similar.
The law, in this case, clearly violates the 8th amendent. Lawyer should request an emergency stay.