Not sure why but the bonus action attack seems to also have an advantage if you use the reckless attack first. I guess it's not how it works in 5e but if I remember well, I always have the same %to hit in BG3.
Just a quick clarification: Yes, Reckless Attack gives you advantage on *All* attacks you make on your turn using strength (So if you use a finesse weapon you must use your strength modifier anyway to benefit from it); if using reckless attack first is giving advantage to all subsequent attacks you make on your turn, then that is actually correct. Giving *everyone* advantage against you in return is a substantial cost. It may be worth checking that opportunity attacks you take on your turn also benefit from reckless, if you've made a reckless attack, but that opportunity attacks you make outside of your turn do not. I'm too cynical at this point to have faith that they've gotten that correct, but it's worth checking.