Ligament injuries are a pain, and vary immensely. The problem is that they're not able to regenerate, or rejoin if broken, as a bone would, so any tearing or stretching is permanent. Completely broken ACLs are often surgically replaced, and the possibilility should not be dismissed without thought. Some people can manage quite well with no ACL, but others can not.
In most cases there will be other tissue damage, and it often this that causes most of the actual pain, and often the associated inflammation can make the pain worse (by displacing and putting pressure on other tissues), which can in turn lead to more swelling, which all the time can work to inhibit healing as the tissues won't mend until they're relaxed and in their proper places, if you see what I mean.
So initially the answer (assuming surgery is not indicated) is drugs. Anti-inflammatory drugs such as diclofenac or ibuprofen are usually the first choice, depending on the severity (diclofenac is 'stronger') and should be viewed not just as a pain reducer, but as an active healing agent, working by reducing the swelling and allowing the natural healing process to take place.
Longer-term, if you've still got pain it can actively inhibit proper reactivation of muscles, and physiotherapy may be needed to address this, as well as for stretching and development of muscles that may have somewhat atrophied through disuse. Don't be afraid to continue taking anti-inflammatories (unless your doctor tells you not to) as they will work with you to allow faster healing, and the faster the healing takes place the less muscle wastage there will be.
But don't expect miracles - you must recognise that joints can take a long long time to heal, and be be a patient patient, whilst of course doing recommended exercises, but not too much too soon, which can again cause more pain and inflammation. And by 'a long time' I mean sometimes it can take years.
Ask your physio to provide leaflets explaining what he/she is doing. These can be quite useful even if they're also in foreign, and they may help you understand why some things are taking longer than others. Or get a knowledgeable friend to go aling with you and help to explain things if you're still not sure of what's going on.
Best of luck with your recovery anyway.