I had a similar problem in fortran. Anyway I made a model of your package and I found an half solution. It seems that not all the variables in PACKAGE/src/Makevars are considered and used. In order to make it work I used this Makevars file:
MY_PKG_LIBS =
MY_PKG_CCLAGS = -I/usr/share/R/include -DNDEBUG -fpic -g -O2 -fstack-protector-strong -Wformat -Werror=format-security -D_FORTIFY_SOURCE=2 -g
all: $(SHLIB)
hello.o: hello.c
gcc $(MY_PKG_CCLAGS) -c hello.c -o hello.o $(MY_PKG_LIBS)
PKG_LIB = -std=gnu++11
Obviously the hello.c file should be replaced by your_file_name.c. If you can not change the CC and you adopt my workaround, the real problem become that when the shared file .so is created, the compiler flags should be overwritten using PKG_CFLAGS or PKG_CPPFLAGS as stated in Writing R Extensions (again in the Makevars file). In my personal situation (Ubuntu 15.04, R 3.1.2), I tried those and other vars following the guidelines in /etc/R/Makeconf file:
ALL_CFLAGS = $(R_XTRA_CFLAGS) $(PKG_CFLAGS) $(CPICFLAGS) $(SHLIB_CFLAGS) $(CFLAGS)
ALL_CPPFLAGS = $(R_XTRA_CPPFLAGS) $(PKG_CPPFLAGS) $(CPPFLAGS) $(CLINK_CPPFLAGS)
The only thing that worked in adding a flag to the -shared final compiling of the package was adding the library linker flag (As I did originally with my fortran code) PKG_LIB = -std=gnu++11 in the PACKAGE/src/Makevars.
My final result in installing the package is:
Installing package into ‘/home/home/R/x86_64-pc-linux-gnu-library/3.1’
(as ‘lib’ is unspecified)
* installing *source* package ‘question1’ ...
** libs
gcc -I/usr/share/R/include -DNDEBUG -fpic -g -O2 -fstack-protector-strong -Wformat -Werror=format-security -D_FORTIFY_SOURCE=2 -g -c hello.c -o hello.o
gcc -std=gnu99 -shared -L/usr/lib/R/lib -Wl,-Bsymbolic-functions -Wl,-z,relro -o question1.so hello.o -std=gnu++11 -L/usr/lib/R/lib -lR
installing to /home/dgarolini/R/x86_64-pc-linux-gnu-library/3.1/question1/libs
** R
** preparing package for lazy loading
** help
*** installing help indices
** building package indices
** testing if installed package can be loaded
* DONE (question1)