Do not feed the baby in lying down position as the formula milk can flow down to the middle ear and cause infection. (newkidscenter.com)
Finally, you could try a side - lying down position which helps you and your baby relax and maybe even drift off for a little nap thereby increasing feeding time (without you even realizing it). (romper.com)
First I breast fed her in the lying down position a lot and we would both drift off. (crunchydomesticgoddess.com)