As per the chart Im also getting your lagna as Sagittarius or Dhanu. Rashi as Gemini. We see that Rahu is in the lagna. Apparently, it can be because of different ayanamsa. The ayanamsa which Im using is Lahiri. Possibly the manual chart that has been constructed has used different ayanamsa calculations.
What you should do is go for birth chart rectification. This is a method which based upon your important life events, personality and appearance will check what is your correct lagna.