  The program HiggsBounds is a well-established tool for testing
Beyond-the-Standard Model (BSM) theories with an extended Higgs sector against
experimental limits from collider searches at LEP, Tevatron and LHC. Thus far,
it could be applied to any neutral or charged Higgs bosons originating from the
modified Higgs sector. Implicitly, these particles were assumed to exhibit a
somewhat hierarchical Yukawa structure as present in the Standard Model, where
in particular the couplings to first generation fermions could be neglected. In
this work, we extend the HiggsBounds functionalities to go beyond these
restrictions, thus making the code applicable to any neutral or charged BSM
scalars. Moreover, we develop a new approach to implement experimental searches
whose kinematic acceptance depends significantly on the values of the involved
couplings. We achieve this by recasting the searches to general scalar models.
Using this approach we incorporate relevant current experimental limits from
LHC searches for exotic scalars, and present the implications of these limits
for a dark matter scalar mediator model, a flipped Two-Higgs-Doublet Model and
a supersymmetric model with R-parity violation.
