@dallas102 , Dallas, speaker will work just fine with ripped grille material/mesh. Grilles do help some what from dust and protect from small fingers poking the speakers them selves. Find link below for Sony where you can inquire about replacement grille or other links show how to repair and where you can purchase just the material and recover your existing grilles. Good luck.
I hope this helped you out, if so let me know by pressing the helpful button.
https://esupport.sony.com/US/p/model-accessories.pl?mdl=SSCCP1
https://www.youtube.com/watch?v=mVe0sjNZXCI
http://www.parts-express.com/cat/speaker-grill-cloth-fabric/319
http://www.ebay.ca/sch/i.html?_nkw=speaker+grille+fabric&_sacat=0&clk_rvr_id=1123881852094&gclid=CICt1v3OqdACFQEMaQod1XYDHw&geo_id=34636&MT_ID=16&crlp=154825795114_377&rlsatarget=kwd-1437435423&keyword=speaker+grille+fabric&treatment_id=7&poi=&adpos=1t4&device=c&crdt=0&ul_noapp=true