The article is misleading. The part about an impending period of solar inactivity comes from the solar physicists; the part about a mini-Ice Age comes straight from the blogger based on a snippet from NASA's web site which he either deliberately or inadvertently misread. Had he continued the quote for only one more line, he would have included this important caveat:
The connection between solar activity and terrestrial climate is an area of on-going research.
The article is misleading, which is utterly unsurprising if you're already familiar with the previous work of Lewis Page at El Reg.
He has a penchant for pumping stories that downplay climate change, Fukushima meltdown, etc. If you want stories that play favourably for legacy energy industry, he's your man at The Register.
The connection between solar activity and terrestrial climate is an area of on-going research.