How to make this product pipeline figure?

You can use a matrix. Everything is straightforward except for filling in the the texts. I wish this was not necessary, then there would be much more time for explanations.

documentclass[tikz,border=3mm]{standalone}
usetikzlibrary{matrix,shapes.symbols,fit,calc}
definecolor{mgreen}{RGB}{120,172,76}
definecolor{mblue}{RGB}{81,123,189}
definecolor{myellow}{RGB}{237,201,69}
definecolor{mred}{RGB}{189,80,52}  
usepackage{eqparbox}
newboxeqnodebox
tikzset{equal size/.style={execute at begin
    node={setboxeqnodebox=hboxbgroup},
    execute at end node={egroupeqmakebox[#1][pgfkeysvalueof{/tikz/equal size align}]{copyeqnodebox}}},
    equal size/.default=A,equal size align/.initial=l,
    equal column/.style={column #1/.style={nodes={equal size=A#1}}},
    msig/.style={signal,signal to=east,signal
    from=nowhere,double=black,draw=white,rounded corners=1.5pt,
    minimum height=1.2em,inner xsep=-1pt}}
begin{document}
begin{tikzpicture}[font=sffamily,
    %h/.style={minimum height={2pt+#1*1em-#1*1pt}}
    ]
 matrix[matrix of nodes,nodes in empty cells,
   equal column/.list={1,...,7},
%   fixed size/.list={4,5,6},
   nodes={minimum height=2.2em,anchor=west},
   column sep=1pt,row sep=1pt,
   row 1/.style={nodes={fill=gray!60!black,text=white,node font=small,
   minimum height=3em}},
   row 2/.style={nodes={fill=mgreen!60}},
   row 3/.style={nodes={fill=mgreen!20}},
   row 4/.style={nodes={fill=mgreen!50}},
   row 5/.style={nodes={fill=myellow!60,minimum height=2.8em}},
   row 6/.style={nodes={fill=mblue!60}},
   row 7/.style={nodes={fill=mblue!80}},
   row 8/.style={nodes={fill=mred!60,minimum height=3em}},
 ] (mat) {
 Description & Disease & Preclinical  & 
 begin{tabular}{c} Phase 1 end{tabular} & 
 begin{tabular}{c} Phase 2 end{tabular} & 
 begin{tabular}{c} Phase 3 end{tabular} & 
  Marketed 
 & AML & & & & &
 & MDS & & & & &
 & NSCL& & & & & 
 & CLL& & & & & 
 & NSCLC& & & & & 
 & Nasopharyngel& & & & & 
 & Solid tumors& & & & & 
 };
begin{scope}[pfit/.style n args={3}{fit={(mat-#1-1.north west)
(mat-#2-1.south east)},inner sep=0pt,
label={[anchor=west,node font=small,align=left]west:{#3}}}]
 node[pfit={2}{4}{Sappa pft pft pft},
  fill=mgreen!90]{};
 node[pfit={5}{5}{Sappa pft pft pft},anchor=center,
  fill=myellow!90]{};
 node[pfit={6}{7}{Sappa pft pft pft},anchor=center,
  fill=mblue!90]{};
 node[pfit={8}{8}{Sappa pft pft pft},anchor=center,
  fill=mred!90]{};
end{scope}
begin{scope}[nodes=msig]
 node[fit=(mat-2-3.west) (mat-2-6.center),fill=mgreen]{};
 node[fit=(mat-3-3.west) (mat-3-5.east),fill=mgreen]{};
 node[fit={(mat-4-3.west) ($(mat-4-5.west)!0.8!(mat-4-5.east)$)},fill=mgreen]{};
 node[fit={(mat-5-3.west) ($(mat-5-5.west)!0.6!(mat-5-5.east)$)},fill=myellow]{};
 node[fit={(mat-6-3.west) ($(mat-6-5.west)!0.7!(mat-6-5.east)$)},fill=mblue]{};
 node[fit={(mat-7-3.west) ($(mat-7-5.west)!0.2!(mat-7-5.east)$)},fill=mblue]{};
 node[fit={(mat-8-3.west) ($(mat-8-4.west)!0.6!(mat-8-4.east)$)},fill=red]{};
end{scope}
end{tikzpicture}
end{document}