Simulating a raised cosine filter
MATLAB's documentation doesn't recommend the use of firrcos, instead use rcosdesign as recommend. Type doc firrcos  in your command window, here are the first lines:

firrcos Raised Cosine FIR Filter design.
WARNING: firrcos is not recommended. Use RCOSDESIGN instead.

My guess is that firrcos is actually discontinued in new releases. To better help you, try using rcosdesign as recommended. You can actually get the actual MATLAB code for this function by typing the following lines in your MATLAB's command window: edit rcosdesign (you can also check edit firrcos). This opens a new editor window with the actual code for the function. This can help you.
Note that in your EDIT1, Fc is actually the cutoff (not carrier) frequency if you double-check the documentation, and that with three input arguments as you have the default $F_s = 2$. The roll-off factor is a measure of the excess bandwidth expressed as a fraction. The span of the filter in symbols is for you to define.
To add to what has been mentioned by @MBaz, what you need at the transmitter is the root-raised cosine filter. This is so that at the receiver side you also put a  root-raised cosine and the two together result in a raised-cosine filter which is a Nyquist filter with zero ISI while the root-raised cosine doesn't exhibit zeros (in amplitude) at symbol times.
EDIT:
To see the equivalence between the two functions you'll have to give the correct input parameters to both functions. As discussed, first things is having a root-raised cosine. You can do this by setting the 6th and 4th input of firrcos and rcosdesign respectively to sqrt. The equivalents of the remaining parameters are as follows:
beta = R;
sps = Fs/(2*Fc);
span = N / sps;

Then you have the unnormalized two filters as:
h1 = firrcos(N, Fc, R, Fs, 'rolloff', 'sqrt');
h2 = rcosdesign(R, N/(Fs/Fc/2), Fs/Fc/2, 'sqrt');

More on this together with the needed normalization can be found in MATLAB's Communications Toolbox™ Release Notes for R2020b under the chapter on R2013b (I guess it got discontinued after then) titled Functionality Being Changed or Removed.
For your Simulink, click on Simulink Library Browser then on the list on your left choose Communications Toolbox then pick Comm Filters. There you have all your filters, you can set the chosen raised-cosine filter as discussed up.