After getting absolutely fed up with this tape mess and having to hang up a coin from the top of the entrance (this option without success), I decided to take matters into my own hands (literally). I purchased a meltable, moldable plastic substance and made my own LRII accessory. I hand-molded a gate type thing that fits onto the bottom of the entrance. It doesn't fall out or in due to some modifications that I made in my trial and error process. I traced the outline of the bottom of the LRII entrance and used it as my guide to cut and form the right shape. I made the height the same height in which the tape was effective at keeping the urine from being sprayed out of the entrance. I then spray-painted the finished product and now am free from the tape!! The spray paint that I used is inside/outside spray paint and is able to be hand washed. I wanted to let all of you know and to try to keep some of the people who have the same problem from returning their LRII because their kitty won't turn around, so that they can discover that the LRII really is the best thing in the world. If you want to make your own, send me a message and I can give you details on how to make one and what materials to use. If you'd like me to make you one, please reply to this post. Here are some pictures of the process and what it looks like:

Just finished molding it.

What it looks like when attached to the LRII.

After a coat of spray paint.

Done!