What do the emperors of Blefuscu accuse the Lillputians of doing with religion? no

The battle between the Blefuscu and the Lilliputians began
several years before Gulliver met them. The problem was that the emperor of Blefuscu
(who is ancestor of the current one), cut his finger when he cracked open an egg on the
wider side. For this reason, he passed a law to be followed: That all Lilliputians have
to break their eggs on the smaller part of the egg instead of the wider part like what
they do.

Reldresal explained to Gulliver that, as a result
of this command there were battles among the group, books were written about it, and it
was basically a really big deal.  Those who rebelled against the egg law where accused
of violating religion, or the Brundrecral, like they named it. The Blefuscu said that if
they were real believers they would do as they were told and break the eggs the way that
the emperor said to break them.

So, basically the
Lillputians were accused of refusing to follow the religious imposition of the emperor
by not willing to break the eggs the way they were told to.