To me it sounds like nonsense verse, so it has no meaning. It is just some rhyming words.

It sounds to me like a children's chant. Specifically, it sounds like the kind of rhyme children, generally girls, chant while playing jumprope. A web search shows me: 1) As Su.Ki. guessed, the line is actually "I love you more than beans and rice." Beans and rice is a traditional food pairing in some cultures, but it is also the kind of line that might have been used just because it rhymed well. If you want to rhyme the world "twice," and you've decided to use the word "rice," there aren't too many other foods that would fit. 2) It was a line used several times in a TV series, "Desperate Housewives," and the context is a couple, being affectionate by acting childishly, the way lovers do. The character who says it introduces it by saying "All I can remember is this thing from when I was a kid."

I think someone is trying to write an old rhyming couplet where the end of a line rhymes with the beginning of the line before. They have not been successful​

I agree with John that it's not great poetry. You'd need a couple more syllables to make it work. For example: I love you once, I love you twice I love you more than beans and rice I love you once, I love you twice I love you more than Coke with ice I love you once, I love you twice I love you more than chocolate mice and so on..