I will assume you are being serious in your question.A few people actually believe it is the suns repulsion but the simplest answer is "gravity"--the basic working theory that is used today has been around in its current form for over 300 years, and it is consistent in explaining just how everything both terrestrially and celestially interacts. So "NO", there is not a repulsive force from the sun in play, unless you want to come up with an alternate hypothesis that essentially negates three centuries worth of physics... If you want to try and understand in more detail, I would recommend the following: Gravity
One more note that I would add....let's presume that there is some "repulsive force" from the sun that would attract your object. First of all, it would attract your object at the same acceleration as it attracts the earth (so from your perspective it wouldn't be moving at all). In fact, one could argue that this very thing is happening when you are facing away from the sun--technically the sun is "pulling" you towards it (due to its gravitational pull), along with whatever you've thrown in the air. But it is also pulling the earth towards it, so it all sums up to "no net pull" from your earth-based perspective (you're all orbiting together).
Finally, if there WERE some magical "repulsive force" from the sun that acts on only your thrown object (so you essentially disregard everything else I've written above), then at night time (when the sun is opposite the earth), your object would "fly away" since the repulsive force would drive the object away from it (and you, and the earth).
If you are genuinely trying to understand this concept, then good--please read up on Newton's Theory of Gravity. But your current line of reasoning is quite flawed
