Ashers had discriminated against a gay activist for declining his order for a cake bearing the slogan "Support Gay Marriage", Court of Appeal judges in Belfast ruled on Monday.
While Gareth Lee, whose order was cancelled, welcomed the Court of Appeal decision, Ashers general manager Daniel McArthur expressed his "extreme disappointment".
The case was brought by Lee with the support and financial backing of Northern Ireland's Equality Commission.
The publicly funded body said it had spent £88,000 on the case to date and has asked that Ashers now foot that bill.
Throughout the legal battle Ashers has been supported by The Christian Institute, which has organised public rallies and garnered financial backing for the case.
Simon Calvert from the organisation pledged the family would not have to worry.
On Premier's News Hour he said: "We [will] back the family all the way and so the family don't have to worry about the cost.
"The Christian Institute legal defence fund has got that covered but, you know, that's going to be a lot of money."
The organisation had spent £200,000 itself in legal costs, he said.
"It is a lot of money, but Christians are concerned about the state of religious liberty in the UK and they have been willing to donate to our legal defence fund to help us to fight this case and cases like it," he added.