Politics and religion seem to mix in Lithuania. In the independence fight, nationalists used the Church to promote their ideas. You certainly notice how politicians participate in religious events more around the time elections are coming up. I'd say some priests and even some bishops are too active in politics. This isn't appropriate.
Priests sometimes side with parties to make their lives more comfortable.
Some have even benefited financially. They feared being exposed and tried to support the left wing when the left was recently in power. Maybe they will be exposed now that the Conservatives are at the helm. The government opens Catholic schools, sponsors religious festivals and supports Catholic conferences quite openly. Every party assumes that by supporting the Church, the Church will support that party.