That should have been dealt with on the stand at the hearing. If you didn't impeach the credibility of the witness at the hearing, it may be too late to try to raise in the appeal, since the appeal doesn't deal with factual issues, only legal ones. Whether someone lied is a factual issue. I suggest you consult your attorney about what, if anything, you can do about it now. If you don't have an attorney, this is one reason why you need one.
You can report the alleged perjury to the prosecutor to see if he or she will pursue criminal charges, but perjury prosecutions involving lies in civil cases are rare.