From the GNU Make documentation,
5.3.1 Choosing the Shell
------------------------
The program used as the shell is taken from the variable `SHELL'. If
this variable is not set in your makefile, the program `/bin/sh' is
used as the shell.
So put SHELL := /bin/bash
at the top of your makefile, and you should be good to go.
BTW: You can also do this for one target, at least for GNU Make. Each target can have its own variable assignments, like this:
all: a b
a:
@echo "a is $$0"
b: SHELL:=/bin/bash # HERE: this is setting the shell for b only
b:
@echo "b is $$0"
That'll print:
a is /bin/sh
b is /bin/bash
See "Target-specific Variable Values" in the documentation for more details. That line can go anywhere in the Makefile, it doesn't have to be immediately before the target.