With reference to your screenshot, I assume you want it to display like the following, is that right?
- Cameron, Ali - Innovative Spirit, Barnsby Alisha - Innovative Spirit
If so, I think this might be a lot more complicated than one would initially assume I'm afraid, and you'll need to create some new fields to handle it:

Note that for the rollup fields you'll need to specifically use "ARRAYJOIN()" too
Here's a link to the base so you can copy the set up
I've attached the formula I ended up coming up with below, but it feels...overly complicated to say the least. Hopefully someone else has a more elegant solution!
SUBSTITUTE(
SUBSTITUTE(
IF(
{Staff Nominee},
SUBSTITUTE(
{Commas replaced (from Staff Nominee)} & "",
",",
" - " & Award & "$$"
),
SUBSTITUTE(
{Commas replaced (from Faculty Nominee)} & "",
",",
" - " & Award & "$$"
)
) &
" - " &
Award
, "|", ","
),
"$$",", "
)
It is great seeing different solutions to the same problem.
I chose to tackle it slightly differently. This ultimately depends on how you will use the data.
I took the liberty of assuming that you have a persons table that is has a type of staff or faculty.
Next is to have nominations linked to the People table.

Finally, I make the month a link to its own table. That is where I chose to combine your nominations using a rollup field.

This will scale for as many nominations as you need. Requires no formulas.