I am an experimental physicists, and the model in the first paper has not reached the level of experimental predictions, for LHC results. In fact except for the link you give the search at the CERN document server gives nothing, and the word "weakton" does not yield discussions or appraisals. So the experimental physics community is overlooking this, even though some people at the LHC look at composite models., look at paragraph 4.1.
From what I see of the submission history it has not been peer reviewed to appear in a standard journal although it is a year since it is in the archive.
Lets see if a theoretical physicist has a response to this question for the particle paper.
Edit after comment
Now for the new gravitational theory paper, I found an article popularizing it,
"Most importantly, this new energy and the new field equations offer a unified theory for both dark energy and dark matter, which until now have been considered as two totally different beasts sharing only 'dark' in name," he said. "Both dark matter and dark energy can now be represented by the sum of the new scalar potential energy density and the coupling energy between the energy-momentum tensor and the scalar potential field."
The negative part of this sum represents the dark matter, which produces attraction, and the positive part represents the dark energy, which drives the acceleration of expanding galaxies, he said.
"In a nutshell, we believe that new gravity theory will change our view on energy, gravitational interactions, and the structure and formation of our universe," Wang(an author) said.
Kevin Zumbrun, chair of the Department of Mathematics at IU Bloomington, said the new unified theory looked sound in principle.
"It is speculative at the cosmological level, since one must match with experiment, but the math is solid," he said. "It's a new and elegant angle on things, and if this does match experiment, it is a huge discovery. Quite exciting!"
Wang (an author) said the new field equations also lead to a modified Newtonian gravitational force formula, which shows that dark matter plays a more important role in a galactic scale at about 1,000 to 100,000 light years, but is less important in the larger scale, where dark energy will be significant (more than 10 million light years).
"This unified theory is consistent with general characterizations of dark energy and dark matter, and further tests of the theory up to measured precisions of cosmic observations are certainly crucial for an eventual validation of the theory," Wang added.