What does motion counter only mean in a foreclosure case?

I have never heard this term used in California. In Illinois it appears to mean a notice by one party to the other that a motion has been filed in the court. A motion is an application for an order, in other words a written request for the court to order something. The notice should tell you what type of order the other side is seeking. You have the right to file written opposition to the motion (within strict time limits). At the hearing, each side is allowed to present oral argument for and against the motion. Then the judge makes his decision and either issues or denies the requested order. You should see an attorney about this.