Our dental office condo came with Panasonic easa phone KX-T30810

I need to add an answering machine . I was using an old bell unit that allowed me to record several messages and chose which one to use for different times of the day, lunch, closed etc. I recently bought a new panasonic digital answering machine Tg6700 but even though it has 2 lines, it doesn't seem to work the same way, at any rate, is there an answering machine that I can buy that will work with the panasonic easa phone. it has 2 lines, if one is busy it goes to the onther line automatically.