documentclass[a4paper,12pt]{article}


usepackage{fontspec,tikz, tikz-qtree, multicol,avm,array}

usetikzlibrary{matrix, positioning, trees, calc, arrows, fit,tikzmark,positioning}

begin{document}


begin{multicols}{2}

begin{tikzpicture}
begin{scope}
Tree [.tikzmark{S}{S} [.NP [.Det the ]
[.N cat ] ]
[.VP [.V sat ]
[.PP [.P on ]
[.NP [.Det the ]
[.N; mat ] ] ] ] ]
end{scope}
end{tikzpicture}

columnbreak

begin{avm}
scriptsize
[{} tikzmark{PRED}{PRED} `avoid <SUBJ, OBJ>'; TNS $neq$ PAST cr
      TOPIC [ PRED `kind<COMP>' cr
                    DEF +; LOC FAR; NUM SG cr
                    COMP [ PRED `of <OBJ>' cr
                            OBJ [ PRED `cake'] ] ]tikzmark{topic} cr
     SUBJ [ PRED `pro'; NUM SG; PERS 1; CASE NOM] cr
      OBJ [ $qquad$ ]tikzmark{object} cr
     ADJ [ PRED `usually'] ]
end{avm}

begin{tikzpicture}[remember picture,overlay]
    draw[->] (pic cs:S)--(pic cs:PRED);
    draw[-] (pic cs:topic) to[out=0,in=0,looseness=2]  (pic cs:object);
end{tikzpicture}
end{multicols}

end{document}