Hi etc,
From your picture, it looks like you are using those high performance, internal reflection type reflectors.. With these reflectors an optical law of internal reflection means very close to 100% reflection !!
If they are clean and optimally collimated they are the best you can get !!
All other type reflectors have lower reflection.
The wider beam is a direct result of a bigger illuminating source: You can't do anything about that !!
Take a welding filter a look through that filter directly into the reflector from about 6 feet, with the lamp fully operating: The more surface of the reflector is lit, the better. If the entire surface is lit you will have the max throw possible.
The only way to increase thow is overdriving the light-source to obtain higher surface brightness !!
Regards,
Ra.