If a kitten and just moving to your house learning to go in a new box, Keep really close to there new box use same litter that breeder used  and if  it doesnt use the litter box clean up with a paper towel and put in the box and let it smell it and put in the box it will learn that is where to go after a few times ...YOu MUST keep this up for at least 2 weeks for it to learn that is where to go ....

If a cat starts to urinates outside of the litter box it could be  for either a medical problem, marking behavior or inappropriate elimination behavior. First, rule out a medical problem. Take your cat to your vet and have a urinalysis, urine culture and an X-ray performed. Once you rule out a medical problem such as a urinary tract infection, bladder stones or idiopathic cystitis (inflamed bladder of unknown cause), you’re left with marking behavior or inappropriate urination behavior.

When cats engage in urine marking, they usually spray the urine onto vertical surfaces. It sounds like your cat is not spraying, but rather, is squatting and urinating on the floor and the carpet. This is what some call a cat engaging in a inapproprate urination. Most cats do this because they do not like their litterbox, they especially like the spot they’re urinating on, or both. Your job is to make the litterbox more appealing and the spot he’s going on less appealing.
Sometimes just putting the litter box there if you can will help this problem

 BUT you need to really clean this area well also to put a stop to it. with trying some of these idea below.
First, to make the spot he’s going on less appealing, deodorize the areas that he has soiled. In fact, not only deodorize, but treat with something that enzymatically destroys the odor molecules. Many products are out there. Then, to keep him away from the area he’s been soiling, put something on the spot that will repel him. Double-sided sticky tape works well; cats hate the way the tape feels on their feet. A product called “Sticky Paws,” large sheets of double-sided sticky tape, exists for this purpose. 

 Try to make your litter box more appealing  by adding one more litterbox to your household. The magic formula is “n + 1”: have one more box than there are cats in the household. You have two cats; you should have three boxes. Place the new box in a quiet, low traffic area. Do not put a hood on the box. Clumping, unscented litter is preferable.

If these recommendations don’t solve the problem, certain psychoactive medications have been shown to help this problem. For this, you’ll need to talk to your veterinarian. Good luck!