  We present the latest results of our spectroscopic observations and refined
modelling of a sample of detached eclipsing binaries (DEBs), selected from the
$Kepler$} Eclipsing Binary Catalog, that are also double-lined spectroscopic
binaries (SB2). New high resolution spectra obtained with the HIDES
spectrograph, attached to the 1.88-m telescope of the Okayama Astrophysical
Observatory supplemented the previous observations, allowing to improve
physical parameters of some systems, and characterize three previously omitted.
All the obtained radial velocities (RVs) were combined with $Kepler$
photometry, in order to derive a full set of orbital and physical parameters.
  Ten out of eleven SB2s have their component spectra tomographically
disentangled, and spectral analysis was performed with iSpec, in order to
derive effective temperatures of components and metallicities of the systems.
By comparing our results with theoretical models, we assess the age and
evolutionary status of the studied objects. We find a good match to all but one
systems. We have derived distances from thus determined parameters, and compare
them with those from the $Gaia$ Data Release 2. For systems previously studied
by other authors, our new results lead to better consistency between
observations and models.
