cat urines + little ones laundry by same washing machine

I have a family member whom often washes the floor cloth (the cat has a litterbox yet still pees anyhow) that the cats often urinates on daily, despite washing or rinsing the floor cloth in a pail, the action my family member would be washed it in the washing machine afterwards. can anyone tell me is it a safe despite me using anti dust mites pods and sending them to the dryer after or unhygienic or does it contaminate the following wash?? pls help i have my little ones laundry too that are being washed by the same machine