You seem to have alluded to two sets of inctructions:
1) CO at beginning AND end of next row: CO with a knit or cable CO (your preference or as instructed in directions). Work those new sts, then work across the old sts, then CO the end sts with a backwards loop CO. Done. Turn and work the next row as directed.
2) CO at beginning of the next TWO rows: CO with knit or cable CO. Work the new sts, then work across the old sts. Turn work. CO with a knit or cable CO. Work new sts, then work across old sts And the prior CO sts. Done. Turn and work next row as directed.
It will and it won't be be lopsided. You will have a visible CO edge at either end, but once you have worked the next rows in pattern it will all blend in. In 1, the beginning CO will have one more row, almost like a short row. In 2, the 1st CO section will appear one row sooner than the second CO section.
Almost all knitting has a spot/section with one more row/sts, which is rarely noticeable to anyone other than the person who knit the piece. Given that this is a bear, once things are folded, sewn and stuffed, no one will notice where that extra row is/starts.