This petition was rejected

The Government e-Petitions Team gave the following reason:

Making a false allegation of a crime may already in some circumstances lead to a jail sentence - for example, if someone is found guilty of perverting the course of justice. In other cases, people who are accused of making false accusations may be prosecuted for wasting police time. We're not sure what else you'd like Parliament and Government to do.

In any case, we can't accept your petition because the UK Government and Parliament aren't responsible for the issue you raise. The police and the CPS are responsible for deciding whether to charge people with a crime.

You may find this guidance from the Crown Prosecution Service helpful:

http://www.cps.gov.uk/legal/p_to_r/perverting_the_course_of_justice_-_rape_and_dv_allegations/

You could start a new petition asking for a specific change to the law.